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https://math.answers.com/math-and-arithmetic/Can_a_non-abelian_group_have_a_torsion_subgroup

Can a non-abelian group have a torsion subgroup? - Answers

Yes, a non-abelian group can have a torsion subgroup. A torsion subgroup is defined as the set of elements in a group that have finite order. Many non-abelian groups, such as the symmetric group ( S_3 ), contain elements of finite order, thus forming a torsion subgroup. Therefore, the existence of a torsion subgroup is not restricted to abelian groups.



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Can a non-abelian group have a torsion subgroup? - Answers

https://math.answers.com/math-and-arithmetic/Can_a_non-abelian_group_have_a_torsion_subgroup

Yes, a non-abelian group can have a torsion subgroup. A torsion subgroup is defined as the set of elements in a group that have finite order. Many non-abelian groups, such as the symmetric group ( S_3 ), contain elements of finite order, thus forming a torsion subgroup. Therefore, the existence of a torsion subgroup is not restricted to abelian groups.



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https://math.answers.com/math-and-arithmetic/Can_a_non-abelian_group_have_a_torsion_subgroup

Can a non-abelian group have a torsion subgroup? - Answers

Yes, a non-abelian group can have a torsion subgroup. A torsion subgroup is defined as the set of elements in a group that have finite order. Many non-abelian groups, such as the symmetric group ( S_3 ), contain elements of finite order, thus forming a torsion subgroup. Therefore, the existence of a torsion subgroup is not restricted to abelian groups.

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      Yes, a non-abelian group can have a torsion subgroup. A torsion subgroup is defined as the set of elements in a group that have finite order. Many non-abelian groups, such as the symmetric group ( S_3 ), contain elements of finite order, thus forming a torsion subgroup. Therefore, the existence of a torsion subgroup is not restricted to abelian groups.

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