query: Order of Group with Elements of Order 2
positive_passages.docid: 152741
positive_passages.text: Cardinal of a group $G$ such that for all $x\in G$ we have $x^2=e$
negative_passages.docid: 88344
negative_passages.text: Order of a group and subsequent subgroups
negative_passages.docid: 115746
negative_passages.text: Find the order of a subgroup of $S_5$ generated by two elements
negative_passages.docid: 121423
negative_passages.text: Prove that every element of a finite group has an order
negative_passages.docid: 1577
negative_passages.text: Order of nontrivial elements is 2 implies Abelian group
negative_passages.docid: 98734
negative_passages.text: Order of a product of elements in a generic group
negative_passages.docid: 157582
negative_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: 46687
negative_passages.text: Elements of $GL_{2}(\mathbb{Z})$ of finite order
negative_passages.docid: 144394
negative_passages.text: Order 2 elements in finite characteristic field
negative_passages.docid: 131946
negative_passages.text: Order of an Element Under a Homomorphism
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 134676
negative_passages.text: Number of elements of order $p$ is a multiple of $p-1$ (finite group).
negative_passages.docid: 2794
negative_passages.text: Prove that if a group contains exactly one element of order 2, then that element is in the center of the group.
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$
negative_passages.docid: 39938
negative_passages.text: Subgroups of a cyclic group and their order.
negative_passages.docid: 71245
negative_passages.text: $2 \times 2 $ Orthogonal Group
negative_passages.docid: 148904
negative_passages.text: Groups of order $p^3$