List questions from finite-groups

Published on 14 Jun 2019 - 20:20

240

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Can a group be recovered from its order and automorphism?

Published on 15 Jun 2019 - 4:31

1k

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Topics in Algebra - N. Herstein Exercise from Section 2.12, Question 16 (Page 103)

Published on 26 Mar 2026 - 1:16

85

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Validate my proof of $U(n) = \lbrace k : (k, n) = 1 \text{ and } 0 < k < n \rbrace$ is closed under modular multiplication

Published on 15 Jun 2019 - 9:50

38

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Proof (or counter-example) of the existence of an element of order $p$ in a conjugacy class $aH$ of a subgroup $H$ of a finite group $G$

Published on 15 Jun 2019 - 14:14

427

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the number of subgroups of the unit group $\mathbb{Z}_{n}^{\times}$

Published on 27 Mar 2026 - 5:39

348

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Dual group is cyclic for finite abelian cyclic group

Published on 25 Mar 2026 - 12:53

549

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The number of elements of order $p$ and $q$ in a group of order $pq$

Published on 25 Mar 2026 - 23:42

189

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Why is dim(ρW)=dimW for ρ being a linear representation?

Published on 17 Jun 2019 - 2:01

169

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Space of Homomorphisms Between Two Group Modules

Published on 17 Jun 2019 - 2:17

52

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Representation theory, group products can somebody please help me with this proof?

Published on 17 Jun 2019 - 6:08

60

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Does there exist a finite group that is both perfect and immaculate?

Published on 25 Mar 2026 - 17:46

60

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Formula of a the group of character of a group

Published on 27 Mar 2026 - 4:18

144

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Let $P$ be a Sylow $5$-subgroup of the symmetric group $S_{25}$ on $25$ letters. Show that there are two elements of $P$ that generate $P$ as a group.

Published on 27 Mar 2026 - 1:00

107

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Number of subgroups of order $p^k$ in $p$-groups

Published on 25 Mar 2026 - 11:15

List Question

A question on "unlabeled Cayley graphs"

Can a group be recovered from its order and automorphism?

Topics in Algebra - N. Herstein Exercise from Section 2.12, Question 16 (Page 103)

Validate my proof of $U(n) = \lbrace k : (k, n) = 1 \text{ and } 0 < k < n \rbrace$ is closed under modular multiplication

Proof (or counter-example) of the existence of an element of order $p$ in a conjugacy class $aH$ of a subgroup $H$ of a finite group $G$

the number of subgroups of the unit group $\mathbb{Z}_{n}^{\times}$

Dual group is cyclic for finite abelian cyclic group

The number of elements of order $p$ and $q$ in a group of order $pq$

Why is dim(ρW)=dimW for ρ being a linear representation?

Space of Homomorphisms Between Two Group Modules

Representation theory, group products can somebody please help me with this proof?

Does there exist a finite group that is both perfect and immaculate?

Formula of a the group of character of a group

Let $P$ be a Sylow $5$-subgroup of the symmetric group $S_{25}$ on $25$ letters. Show that there are two elements of $P$ that generate $P$ as a group.

Number of subgroups of order $p^k$ in $p$-groups

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