List questions from finite-groups

Published on 26 Mar 2026 - 14:32

9.1k

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Number of homomorphisms between two arbitrary groups

Published on 25 Mar 2026 - 6:08

388

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Existence of subgroup of order power of prime in a finite abelian group?

Published on 26 Mar 2026 - 9:14

113

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Correct formulation of problem $1.D.19$ from Isaacs's Finite Group Theory book

Published on 21 Dec 2018 - 7:09

568

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If $f$ has no non trivial fixed points and $f\circ f$ is the identity then $f(x)=x^{-1}$ and $G$ is abelian for $f$ an automorphism of $G$

Published on 25 Mar 2026 - 11:00

69

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Are the permutations of the Group Caley table rows form the same Group?

Published on 22 Dec 2018 - 8:30

190

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Homology of subset of orbit space

Published on 26 Mar 2026 - 12:36

253

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Non cyclic group of order $p^3$ satisfies $G \simeq H \rtimes_{\theta}K$

Published on 25 Mar 2026 - 7:44

353

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Intersection of all maximal subgroups of a finite group

Published on 23 Mar 2026 - 12:13

288

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Representatives for all conjugacy classes of elements of order 15 in A11

Published on 26 Mar 2026 - 9:42

1.7k

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Is $U_8$ isomorphic to $K_4$ (Klein Group)

Published on 26 Dec 2018 - 13:08

842

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Find a set of representatives of cosets in $S_4$

Published on 26 Mar 2026 - 11:02

442

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Degree or valency of a Cayley graph

Published on 27 Mar 2026 - 16:48

107

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Abelian normal subgroups of A-groups

Published on 25 Mar 2026 - 4:36

393

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Relation between set of Normal subgroups and set of Homomorphism images of a group $G$

Published on 26 Mar 2026 - 11:18

List Question

Group action inverse?

Number of homomorphisms between two arbitrary groups

Existence of subgroup of order power of prime in a finite abelian group?

Correct formulation of problem $1.D.19$ from Isaacs's Finite Group Theory book

If $f$ has no non trivial fixed points and $f\circ f$ is the identity then $f(x)=x^{-1}$ and $G$ is abelian for $f$ an automorphism of $G$

Are the permutations of the Group Caley table rows form the same Group?

Homology of subset of orbit space

Non cyclic group of order $p^3$ satisfies $G \simeq H \rtimes_{\theta}K$

Intersection of all maximal subgroups of a finite group

Representatives for all conjugacy classes of elements of order 15 in A11

Is $U_8$ isomorphic to $K_4$ (Klein Group)

Find a set of representatives of cosets in $S_4$

Degree or valency of a Cayley graph

Abelian normal subgroups of A-groups

Relation between set of Normal subgroups and set of Homomorphism images of a group $G$

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