query: "Simple problem" to find order of a product in a Group
positive_passages.docid: 157582
positive_passages.text: Inverse of $ab$ and its order in a group with relations $a^2=e=b^6$ and $ab=b^4a$
negative_passages.docid: 13807
negative_passages.text: Is there a way to prove that the order of an element in a Group divides the order of the Group, WITHOUT USING LAGRANGE'S
negative_passages.docid: 20944
negative_passages.text: How do I show that every group of order 90 is not simple?
negative_passages.docid: 25421
negative_passages.text: Simple or not simple Groups
negative_passages.docid: 129653
negative_passages.text: Solving a polynomial with grouping
negative_passages.docid: 128051
negative_passages.text: Calculating possible option of switching pairs in group
negative_passages.docid: 57986
negative_passages.text: Sum of products of combinatorials
negative_passages.docid: 108943
negative_passages.text: Combining the second elements of a set of ordered pairs based on their first element
negative_passages.docid: 115209
negative_passages.text: Elementary formula for permutations?
negative_passages.docid: 15526
negative_passages.text: Question on groups of order $pq$
negative_passages.docid: 146421
negative_passages.text: How to prove a total order has a unique minimal element
negative_passages.docid: 131306
negative_passages.text: Prove that a group of order $2^5 \cdot 7^5$ is not simple
negative_passages.docid: 79055
negative_passages.text: Orders of a symmetric group
negative_passages.docid: 102634
negative_passages.text: Order of the Rubik's cube group
negative_passages.docid: 64269
negative_passages.text: Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
negative_passages.docid: 31687
negative_passages.text: Classification of groups of order 30
negative_passages.docid: 129568
negative_passages.text: How many different groups of order $15$ there are?