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mojtaba farazi

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visits member for 6 months
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25 reputation
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5 Questions

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2
 Is it true that if $\mathrm{Aut}(G)$ is nilpotent then $G$ is also nilpotent?
2
 nilpotent group of class 2
1
 The torsion subset of a non-abelian group is not, in general, a subgroup.
0
 exp(G/Z(G))=3 ⟹ G is nilpotent of class 4 or less
-2
 Exponent of finitely generated group

25 Reputation

+5 The torsion subset of a non-abelian group is not, in general, a subgroup.
+5 nilpotent group of class 2
+3 Exponent of finitely generated group
+5 Is it true that if $\mathrm{Aut}(G)$ is nilpotent then $G$ is also nilpotent?
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group-theory × 5
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abstract-algebra
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