List questions from finite-groups

Published on 26 Mar 2026 - 1:10

161

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On generalised character counting number of solutions of $x^n = 1$

Published on 25 Mar 2026 - 22:06

136

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Classifying finite groups of given order using Sylow theorems.

Published on 27 Mar 2026 - 16:37

46

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Question on the product of normal subgroups, theorem from a book

Published on 14 Nov 2019 - 15:49

364

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Number of groups of order $31p^2$ (up to isomorphism)

Published on 25 Mar 2026 - 18:50

59

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Dimensions of connected components of fixed point sets

Published on 25 Mar 2026 - 21:01

79

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Can some finite group $G$ embed by conjugacy into $\operatorname{Sym}(H)$, for some $H \lhd G$?

Published on 27 Mar 2026 - 21:35

47

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group homomorphisms of elliptic curves

Published on 30 Mar 2026 - 1:51

121

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If $\operatorname{Aut}(G)$ is abelian order $p^5$, is $G$ non-abelian?

Published on 28 Mar 2026 - 23:59

81

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$G$ finite group of order $n$. What's the least $l<n$ such that $G$ embeds in $S_l$?

Published on 27 Mar 2026 - 21:36

134

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Prob. 2, Sec. 14, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: How many elements are there in this factor group?

Published on 26 Mar 2026 - 4:34

611

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Non-abelian group of order 75 must have subgroup $P \cong Z_5 \times Z_5$

Published on 27 Mar 2026 - 14:59

166

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Property of generating sets of finite groups

Published on 02 Apr 2026 - 3:47

29

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If power is an homomorphism then the image is a normal group

Published on 16 Nov 2019 - 15:47

467

Views

Understanding Conjugacy classes of the Unitary group over finite fields

Published on 09 Apr 2026 - 6:43

List Question

Artin's theorem and Brauer's theorem on Characters

On generalised character counting number of solutions of $x^n = 1$

Classifying finite groups of given order using Sylow theorems.

Question on the product of normal subgroups, theorem from a book

Number of groups of order $31p^2$ (up to isomorphism)

Dimensions of connected components of fixed point sets

Can some finite group $G$ embed by conjugacy into $\operatorname{Sym}(H)$, for some $H \lhd G$?

group homomorphisms of elliptic curves

If $\operatorname{Aut}(G)$ is abelian order $p^5$, is $G$ non-abelian?

$G$ finite group of order $n$. What's the least $l<n$ such that $G$ embeds in $S_l$?

Prob. 2, Sec. 14, in Fraleigh's A FIRST COURSE IN ABSTRACT ALGEBRA, 7th ed: How many elements are there in this factor group?

Non-abelian group of order 75 must have subgroup $P \cong Z_5 \times Z_5$

Property of generating sets of finite groups

If power is an homomorphism then the image is a normal group

Understanding Conjugacy classes of the Unitary group over finite fields

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