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nonabelian simple finite group


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  • 2 months later...

A nonabelian simple group is a group that is simple (has no normal subgroups other than the trivial subgroup and itself) and nonabelian (not commutative). The smallest nonabelian finite simple group is [latex]A_5[/latex], the alternating group of degree 5, which has order 60.

A finite group that is not a nonabelian simple group is either not simple (has a nontrivial proper normal subgroup) or abelian (commutative) or both. Examples of abelian finite simple groups are cyclic groups of prime orders.

Edited by Crimson Sunbird
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