List questions from finite-groups

Published on 26 Mar 2026 - 19:05

102

Views

Group of order 380 is not simple

Published on 11 Apr 2026 - 23:32

608

Views

Counting the number of particular subgroups of a finite abelian group

Published on 30 Mar 2026 - 11:58

576

Views

Orders of the elements in the alternating group $A_n$

Published on 28 Mar 2026 - 20:57

113

Views

Why isn't $D_3 \times \mathbb Z_{10} \cong D_{10} \times \mathbb Z_3?$

Published on 26 Mar 2026 - 16:09

83

Views

If we restrict the character $\chi:G\to S_{o(\chi)}$, then is this map surjective?

Published on 26 Mar 2026 - 6:21

102

Views

Torsion in abelian groups

Published on 09 Apr 2026 - 17:57

95

Views

Is the spherical growth function of a finite group always a unimodular sequence?

Published on 10 Apr 2026 - 8:00

200

Views

Proving an evenness property for the nth power map for a finite (not necessarily commutative) group $G$

Published on 26 Jan 2020 - 19:55

521

Views

Can any solvable finite group be obtained from abelian groups and combinations of taking subgroups, quotients, and semidirect products?

Published on 26 Mar 2026 - 1:11

219

Views

Sum-free sets in finite groups

Published on 09 Apr 2026 - 15:21

44

Views

Finding a map between irreducible representations of finite groups

Published on 11 Apr 2026 - 9:33

220

Views

Isomorphic groups vs. isomorphic subgroups

Published on 12 Apr 2026 - 4:55

218

Views

A question on characteristically simple groups

Published on 11 Apr 2026 - 21:27

23

Views

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

Published on 09 Apr 2026 - 7:21

List Question

Problematic definition (property is already set the other way in GAP)

Group of order 380 is not simple

Counting the number of particular subgroups of a finite abelian group

Orders of the elements in the alternating group $A_n$

Why isn't $D_3 \times \mathbb Z_{10} \cong D_{10} \times \mathbb Z_3?$

If we restrict the character $\chi:G\to S_{o(\chi)}$, then is this map surjective?

Torsion in abelian groups

Is the spherical growth function of a finite group always a unimodular sequence?

Proving an evenness property for the nth power map for a finite (not necessarily commutative) group $G$

Can any solvable finite group be obtained from abelian groups and combinations of taking subgroups, quotients, and semidirect products?

Sum-free sets in finite groups

Finding a map between irreducible representations of finite groups

Isomorphic groups vs. isomorphic subgroups

A question on characteristically simple groups

Decompose ${\mathbb{Z}_n}^{} / ({\mathbb{Z}_n}^{})^2$ into a direct sum of cyclic groups.

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