List questions from automorphism-group

Published on 25 Mar 2026 - 17:38

103

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The automorphism group of the countable atomless Boolean algebra does not have ample generics

Published on 20 Apr 2019 - 3:49

562

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Automorphisms of the field of rational functions $\Bbb C(t)$

Published on 22 Apr 2019 - 0:29

117

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A proof about Automorphism in congruence class

Published on 22 Apr 2019 - 7:36

110

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Automorphisms and basic algebras

Published on 02 May 2019 - 10:21

220

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The Automorphism Group of Free Quandles?

Published on 03 May 2019 - 11:25

524

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Automorphism group of the projective unitary group PU(N) and SO(N)

Published on 07 May 2019 - 17:57

39

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A counterexample about inner automorphisms

Published on 07 May 2019 - 23:07

109

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Automorphism group on a matroid

Published on 25 Mar 2026 - 4:37

314

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Subgroup of coprime order with automorphism group is contained in center of group

Published on 22 May 2019 - 20:49

62

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How to know if an automorphism is induced by the normalizer

Published on 25 Mar 2026 - 19:03

1.3k

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Prove that if $Z(G) =\{e\}$, then $Z(\operatorname{Aut}(G))=\{e\}$

Published on 31 May 2019 - 4:53

104

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If $G$ and $H$ embed in each other and $Inn(G)\cong Inn(H)\cong Aut(H)\cong H$ does $G\cong H$?

Published on 31 May 2019 - 8:28

18

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What properties must fulfill a semiring S so that every automorphism thereof be able to be extended to a canonical field of fractions automorphism?

Published on 31 May 2019 - 19:59

78

Views

Does there exist a nontrivial abelian group $A$ such that $\mathrm{Aut}(A) \cong A$?

Published on 25 Mar 2026 - 12:53

List Question

how to check if there is an automorphism mapping between two conjugacy class

The automorphism group of the countable atomless Boolean algebra does not have ample generics

Automorphisms of the field of rational functions $\Bbb C(t)$

A proof about Automorphism in congruence class

Automorphisms and basic algebras

The Automorphism Group of Free Quandles?

Automorphism group of the projective unitary group PU(N) and SO(N)

A counterexample about inner automorphisms

Automorphism group on a matroid

Subgroup of coprime order with automorphism group is contained in center of group

How to know if an automorphism is induced by the normalizer

Prove that if $Z(G) =\{e\}$, then $Z(\operatorname{Aut}(G))=\{e\}$

If $G$ and $H$ embed in each other and $Inn(G)\cong Inn(H)\cong Aut(H)\cong H$ does $G\cong H$?

What properties must fulfill a semiring S so that every automorphism thereof be able to be extended to a canonical field of fractions automorphism?

Does there exist a nontrivial abelian group $A$ such that $\mathrm{Aut}(A) \cong A$?

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