query: Is it possible to have a Group without any elements inside it?
positive_passages.docid: 45508
positive_passages.text: Is the empty set a group?
negative_passages.docid: 13153
negative_passages.text: at least one element fixed by all the group
negative_passages.docid: 87534
negative_passages.text: Finitely generated group which is not finitely presented
negative_passages.docid: 43964
negative_passages.text: When can a pair of groups be embedded in each other?
negative_passages.docid: 18196
negative_passages.text: Grouping Negates Effect of \centering
negative_passages.docid: 120095
negative_passages.text: How many ways to split n elements in k groups?
negative_passages.docid: 34090
negative_passages.text: How to create a tuple with only one element
negative_passages.docid: 53990
negative_passages.text: Group with more than one element and with no proper, nontrivial sub groups must have prime order.
negative_passages.docid: 25421
negative_passages.text: Simple or not simple Groups
negative_passages.docid: 14512
negative_passages.text: Why cannot a set be its own element?
negative_passages.docid: 129830
negative_passages.text: A group with no proper non-trivial subgroups
negative_passages.docid: 109060
negative_passages.text: Group containing no subgroup of index 2
negative_passages.docid: 26398
negative_passages.text: Group of even order contains an element of order 2
negative_passages.docid: 156342
negative_passages.text: When we can say a group can not be abelian
negative_passages.docid: 78048
negative_passages.text: Group of order 24 with no element of order 6 is isomorphic to $S_4$
negative_passages.docid: 8746
negative_passages.text: Groups of order $pq$ without using Sylow theorems
negative_passages.docid: 35401
negative_passages.text: Examples of finite groups that are not a semidirect product