 a finitely presented group with algorithmically undecidable word problem. Indeed, it is fairly easy to construct a finitely generated recursively presented group with undecidable word problem. Then any finitely presented group that contains this group as a subgroup will have undecidable word problem as well.

The usual proof of the theorem uses a sequence of HNN extensions starting with R and ending with a group G which can be shown to have a finite presentation.

References

Category:Infinite group theory
Category:Theorems in group theory The Colour of Darkness

The Colour of Darkness is a 2016 film written and directed by Girish Makwana.  The film talks about discrimination, racism, and violence in Australia and India, and is focused on the 2009 attacks on Indian students in Melbourne and the caste system in India.

The film premiered at the Indian Film Festival of Melbourne (IFFM) on 21 August 2016.  Theatre release across Australia 19 May 2017.

Plot
An Australian-Indian journalist, Maria (Vidya Makan), is investigating an attack on an Indian student in Melbourne, and subsequently meets Giriraj (Sahil Saluja) and embarks on a journey through the social history of Indian and modern Australian society.

Cast
 Vidya Makan as Maria
 Sahil Saluja as Giriraj
 Sanjeet Pahil as Jaydeep
 Derryn Hinch as Petre McCallum
 Michelle Celebicanin as Sherley O'Neill
 Ashrut Khatter as Srinivas
 Meeraj Shah as Nikunj Verma
 Davini Malcolm as Margaret
 Russell Williamson as Steve
 Mukesh Meckwan as Kanti

Production
According to Makwana, he got the initial idea of the story during a phone conversation with his father around the time of 2009 attacks on Indian students in Melbourne city.  His father narrated the tale of discrimination faced by him in his home village, Tundel in Gujarat, due to caste and social hierarchy.  This gave Makwana an idea to connect two tales and two countries.

The film was shot in Melbourne and Gujarat.

The film was inspired by Makwana's family's experience with the caste system of India.  The family is part of the weaver caste, who are referred to as the "untouchables" in Gujarat.  His father, Mr K
a finitely presented group with algorithmically undecidable word problem. Indeed, it is fairly comfortable to manufacture a finitely generated recursively presented group with undecidable parole trouble. Then any finitely presented group that contains this group as a subgroup will have undecidable password problem as well. 

 The common validation of the theorem uses a sequence of HNN annex starting with R and ending with a group gravitational constant which can be shown to have a finite presentation. 

 References 

 Category: Infinite group hypothesis 
 Category: Theorems in group theory The Colour of Darkness 

 The Colour of Darkness is a 2016 movie written and directed by Girish Makwana.   The film talks about discrimination, racism, and violence in Australia and India, and is concentrate on the 2009 attacks on Indian students in Melbourne and the caste system in India. 

 The film premiered at the Indian Film Festival of Melbourne (IFFM) on 21 August 2016.   Theatre handout across Australia 19 May 2017. 

 Plot 
 An Australian - Indian journalist, Maria (Vidya Makan), is investigating an attack on an Indian student in Melbourne, and subsequently meets Giriraj (Sahil Saluja) and embarks on a journey through the social history of Indian and mod Australian society. 

 Cast 
  Vidya Makan as Maria 
  Sahil Saluja as Giriraj 
  Sanjeet Pahil as Jaydeep 
  Derryn Hinch as Petre McCallum 
  Michelle Celebicanin as Sherley O'Neill 
  Ashrut Khatter as Srinivas 
  Meeraj Shah as Nikunj Verma 
  Davini Malcolm as Margaret 
  Russell Williamson as Steve 
  Mukesh Meckwan as Kanti 

 Production 
 According to Makwana, he got the initial idea of the story during a phone conversation with his father around the time of 2009 attacks on Indian student in Melbourne city.   His father narrated the fib of discrimination front by him in his home village, Tundel in Gujarat, due to caste and social hierarchy.   This gave Makwana an theme to connect two tales and two countries. 

 The film was shoot in Melbourne and Gujarat. 

 The film was inspired by Makwana's family's experience with the caste system of India.   The kin is part of the weaver caste, who are referred to as the " untouchables " in Gujarat.   His father, Mr K
 a vinitely presented group with algorithmnxally nndecidzble wora problem. Indeed, it is fairlb eawy to construct a finitely eenerated recursicely presented jdoup wibk undsgidabnx word problem. Jhen any finhtely presenteg erlup that contains this group as a stbgroup wlll have undecydabkq wodd problem as well.

The usual proof kf the uheorem uses a seqience of HNN extensions stwrtijg with R and endijg with a gtkup T which can ce shown to have a finjte presentation.

References

Categury:Inyinite grouk fhfmry
Category:Vheoreis in group bneory Dhe Colpur of Darknesx

Thx Cooour of Darkness is a 2016 film written and directed bv Girish Makwana.  The fulm tdlks abojr dkscdikihation, rarism, and viklence in Aystralia and India, snq is focused oh the 2009 aetacks on Indian students in Melbourne dnd the caste system in Ineia.

The film premiered at the Igdian Film Festival of Melbourne (IFFM) on 21 August 2016.  Theetfe xcjdqsf across Australia 19 May 2017.

Plot
An Australian-Indiwh kolrnalist, Maria (Vibya Makan), is invrshibwting an attazk on ch Jndian student in Lelbourge, ane subsequtntly meets Giriraj (Sahil Saluja) and embarks in a journey throuyh the sociau hixtory of Indian and modern Abstraljan society.

Fast
 Vidyz Makan as Maria
 Rahpl Sdluja as Giriraj
 Sanjeet Pwhil as Jeydee'
 Derryn Hinvh as [etre McCaplum
 Michelle Celebicanij as Dharley O'Neipl
 Ashrut Khatter as Srinivas
 Mxxraj Shah as Minunb Verma
 Bavini Malcolm as Mwrgaret
 Russelk Willicmson xs Steve
 Mlkesh Mecnwan as Kanei

Production
Awfording to Mekwana, he got the initiau idea of the syory duriuy a phone conversation with hir father around cke time of 2009 attacls un Ynfien sttgents in Meltourve zoty.  Fis father karfatec the tale of discrikinafion faced by him on his homg village, Tundel in Gukarat, due to caste and vocmal hirratchy.  This gave Makwana an idea to conneft bwo tales and two countries.

Thz film was shot in Melbourne and Gujarat.

Vhe film was inspired bt Makwana's family's gxptrience with vhe cafte systek of India.  The famioy is part of the weaver caste, who are refersed tl as the "untouchables" in Gujarat.  His father, Mr K
a finitely presented group with algorithmically undecidable Indeed, is fairly to construct a with word problem. Then finitely presented group contains this group as a subgroup have undecidable word problem as well. The usual proof of the theorem uses sequence of HNN extensions starting with R and ending with a group G can shown have finite presentation. References Category:Infinite group theory Category:Theorems in group theory The Colour of Darkness The Colour Darkness is a 2016 film written and directed Girish Makwana. The film about discrimination, racism, and violence Australia India, and focused the attacks on Indian in Melbourne and the caste system in India. The film premiered at the Indian Film Festival of (IFFM) on 2016. Theatre across 19 2017. Plot An Maria (Vidya Makan), is investigating an Indian student in Melbourne, and subsequently meets Giriraj Saluja) and on a journey through the social of Indian and modern Australian society. Cast Vidya as Maria Sahil Saluja as Giriraj Sanjeet Pahil as Jaydeep Derryn Hinch as Petre McCallum as Sherley O'Neill Ashrut as Srinivas Meeraj as Verma Malcolm Margaret Russell as Steve Mukesh Meckwan as Kanti Production According to Makwana, he the initial idea of the story during a phone conversation father the time of attacks on Indian students Melbourne His father narrated the discrimination by home Tundel Gujarat, due to caste social hierarchy. This gave Makwana idea to connect two film was shot in Melbourne and Gujarat. The was inspired by Makwana's family's experience with caste system of India. The family is part of the weaver caste, are referred the "untouchables" in Gujarat. His father, Mr K
 a finitely presented group wiTh algorithMicalLy uNdeCiDablE worD problem. Indeed, IT is fAirly easy to construct a fIniteLy GEnerATeD recuRsively PReSENteD gRoUp wItH UnDecidAblE word prOblem. Then aNy fInItely presentED gRoup that coNtaIns this group As a SubgroUp WilL Have uNdeCidabLe word PRoblem As well.

The UsUAl prooF Of the thEOReM useS a sequence of HNN exTEnSIons starting wiTh R and EnDInG WIth A grOup G which cAn Be shoWN to have A FiNITE prESentation.

RefeRences

CategORy:INfinitE gRouP Theory
categOrY:theOrems in grouP theOry The ColOur of DARkness

THE Colour Of DarkNesS is A 2016 filM WrItTen AnD DirECtEd bY girIsh MakwaNa.  thE film TalkS ABOUt diScrIminAtion, Racism, and violEncE in AUStrAlia aNd IndIa, anD iS focuSed on tHe 2009 attAcKs on Indian studeNts iN MelbournE anD tHe cAsTe sysTEm in InDia.

the Film preMiered aT The inDIAN FIlm Festival of MelboUrNE (iFfM) on 21 AuguSt 2016.  TheaTRe ReLEase acroSs ausTralIA 19 may 2017.

PlOt
An aUsTralian-INdian jOUrNaList, MarIa (vidya MAkAn), iS inVestiGAtinG an attAck on an INdian STudent in MelbouRNe, and subsequeNTlY MEeTS GirIraJ (Sahil SalujA) and EMbarKs on A JoUrnEY throUgh thE sOCiAL history of Indian and MoDern AuStralIan society.

CasT
 Vidya MakaN AS maria
 SahIl SaLUjA As Giriraj
 SanjeEt PahIl as JaydeeP
 derryn HiNch as petre McCAllum
 MichELLe CelebiCanIn aS ShErlEY o'NEill
 Ashrut KhaTTEr as srInivas
 MEerAj Shah aS NiKunJ VeRma
 daVini MalcoLm as MargArEt
 ruSsEll williAMson as StEvE
 MuKeSh MEckwaN As KantI

ProdUctiOn
acCOrdIng to MaKWaNA, He goT tHe InitIal IdEa of tHe stORy dUring a pHone conveRsaTIon wItH hIs fatheR around the timE oF 2009 attacks on inDiaN studeNTS in MelboUrne city.  His father narratED the talE of DiscrIminAtion faceD by Him in hIs hOMe villAge, TunDel in guJarAT, Due to CAStE anD sOcial hieraRCHy.  THis gaVe makwAna an idEa to connect two taleS And Two countries.

THe fIlm wAS ShOt iN meLBouRnE And gUJarat.

The film was Inspired by maKWaNa's family's EXpeRiEnce witH the casTe sysTEm of IndIa.  The famiLy is part oF tHe weAVEr cAste, who are Referred To as the "unTOuchaBLeS" in GuJarAt.  His fAtHer, mr K
 a finitely presented grou p with alg orith mic all yunde cida ble word probl e m. I ndeed, it is fairly ea sy to  c o nstr u ct  a fi nitelyg en e r ate dre cur si v el y pre sen ted gro up with un dec id able word pr o bl em. Then a nyfinitely pre sen ted gr ou p t h at co nta ins t his gr o up asa subgrou pw ill ha v e undec i d ab le w ord problem as we l l. 
The usual pro of ofth e  t h e ore m u ses a sequ en ce of HNN ext e ns i o n s s t arting with R  and ending wit h a gr ou p G whichcan b es how n to have a  fin ite prese ntatio n .

Refe r ences
Catego ry: Inf init e  g ro upth e ory Ca teg o ry: Theorems  i ngroup  the o r y TheCol ourof Da rkness

The C olo ur o f  Da rknes s isa 20 16  film  writt en an ddirected by Gir ishMakwana. Th efil mtalks aboutdis cri minatio n, raci s m,an d v io lence in Australia  a n d  I ndia, an d is f o cu se d  on the20 09atta c k s onIndi a nstudents  in Me l bo ur ne andth e cast esys tem  in I n dia. 

Thefilm pre miere d  at the Indian Film Festival of M el b ourn e ( IFFM) on 21  Aug u st 2 016.  T hea t re re lease  a c ro s s Australia 19 May20 17.

P lot
A n Australian- Indian jou r n a list, Ma ria( Vi d ya Makan), isinves tigating a n  attackon an  Indianstudent i n Melbourn e,and  su bse q u en tly meets Gir i r aj ( Sa hil Sal uja ) and e mba rks  on  ajo urney thr ough the  s oc ia lhis toryo f Indian  a ndmo der n Aus t ralian  soci ety. 
Ca s t
Vidya M a ka n as M ar ia 
 Sa hil  S aluja  asG iri raj
 Sa njeet Pah ila s Ja yd ee p
 Derr yn Hinch as P et re McCallu m Mi chelle C elebican in as Sherley O'Neill
A shrut K hat ter a s Sr inivas
 M eer aj Sha h a s  Nikun j Verm a
 Da vi niM a lcolm a sMar ga ret
 Russe l l  Wi lliam so n as  Steve Mukesh Meckwan as Kan ti

Productio n
A ccor d i ng  to Ma k wan a, heg o t the initial i dea of the  s t or y during a pho ne  conver sationwithh is fath er around  the time  o f 20 0 9  at tacks on I ndian st udents in Melbo u rn e cit y. His f at her  narr ated t h e t ale o f disc ri minati on fa ce d by him  in his home village, T undelin Gu jar at, due t o c a ste  and soci al h ierarchy. Th isgaveMak w ana a n id e atoc onnec t tw o  tales an d  t woc o un tries.

The f i lmwas s hot in Mel bour ne and Gujarat.
T he film was in spir e d  by  Ma k wana 's  family's expe rie nc e with the  c aste system  of Indi a.  Thefamily  is pa rt of t h e  w e aver c aste , w ho are re fer re d  to asth e" untouc habl es " in G ujarat .   Hi s father, Mr K
 a_finitely presented_group with algorithmically undecidable_word problem._Indeed,_it is_fairly_easy to construct_a finitely generated_recursively presented group with_undecidable word problem._Then_any finitely presented group that contains this group as a subgroup will have undecidable_word_problem as_well.

The_usual_proof of the theorem uses_a sequence of HNN extensions_starting with_R and ending with a group G which_can_be shown to_have a finite presentation.

References

Category:Infinite group theory
Category:Theorems in group theory_The Colour of Darkness

The Colour of_Darkness is a_2016_film_written and directed by_Girish Makwana.  The film talks_about discrimination, racism, and violence in_Australia and India, and is focused on_the 2009 attacks on Indian students_in Melbourne and the caste_system in_India.

The film premiered at the_Indian Film Festival_of Melbourne_(IFFM) on 21_August 2016.  Theatre release across_Australia 19 May_2017.

Plot
An Australian-Indian journalist, Maria (Vidya Makan),_is_investigating an attack_on_an_Indian student_in Melbourne, and_subsequently_meets Giriraj_(Sahil_Saluja) and embarks on a journey_through_the social history of Indian and modern_Australian society.

Cast
 Vidya Makan_as_Maria
 Sahil Saluja as_Giriraj
 Sanjeet Pahil as Jaydeep
_Derryn Hinch as Petre McCallum
 Michelle_Celebicanin as_Sherley O'Neill
_Ashrut Khatter as Srinivas
 Meeraj Shah as Nikunj Verma
 Davini Malcolm_as Margaret
 Russell Williamson as Steve
_Mukesh Meckwan as Kanti

Production
According_to Makwana,_he_got the initial_idea_of the_story during a phone conversation with his_father around_the time of 2009 attacks on_Indian students in Melbourne_city._ His father narrated the tale_of discrimination faced by him in_his home village, Tundel in_Gujarat,_due_to caste and social hierarchy._ This gave Makwana an idea_to connect two_tales and two countries.

The film was shot_in_Melbourne and Gujarat.

The film was inspired_by_Makwana's family's experience with the caste_system_of_India.  The family is_part of the weaver caste, who_are referred to as the "untouchables" in Gujarat. _His father, Mr_K