List questions from finite-groups

Published on 11 Apr 2026 - 11:04

60

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What reference books or papers address Frobenius groups: in particular, of order (121)(120)?

Published on 09 Apr 2026 - 10:03

192

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Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

Published on 12 Apr 2026 - 18:28

60

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About the order of an automorphism

Published on 29 Mar 2026 - 15:16

56

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Partial Order on a Vector space with a Crystallographic Coxeter Group

Published on 25 Mar 2026 - 11:10

141

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Group of order $pq, p \leq q, p \not\mid q - 1$ is abelian

Published on 31 Mar 2026 - 7:08

41

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Conditional bounds on generating fractions

Published on 09 Apr 2026 - 19:47

107

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Characterizing image of group homomorphism based on group order

Published on 12 Apr 2026 - 19:02

374

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$G$ a group of order 210. If $G$ is commutative show it is cyclic. If $G$ is any group show it contains a subgroup of index 2.

Published on 28 Mar 2026 - 6:10

280

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Clarification on proof of fundamental theorem of finite abelian groups

Published on 09 Apr 2026 - 4:24

171

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Calculate order of multiplicative group of finite field

Published on 10 Apr 2026 - 14:44

263

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(Prove)/Disprove that if group A of order 4 is NOT cyclic, then its elements are their own inverses

Published on 12 Apr 2026 - 5:22

85

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How to show the elements ${x^p}$ and $y$ are commute based on relation ${x^y}={x^{1+p}}$

Published on 25 Mar 2026 - 23:16

132

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$|G|=105$, Show that is $P_3$ is a Sylow-3-subgroup then $5||N_G(P_3)|$

Published on 28 Mar 2026 - 6:10

245

Views

Finding the group order from the presentation of a group and deciding if it is abelian

Published on 25 Mar 2026 - 23:10

List Question

Subspace of a Module has a Submodule as a Complement

What reference books or papers address Frobenius groups: in particular, of order (121)(120)?

Number of group homomorphism from $ \mathbb{Z}_{2} * \mathbb{Z}_{2} \to D_{8}$.

About the order of an automorphism

Partial Order on a Vector space with a Crystallographic Coxeter Group

Group of order $pq, p \leq q, p \not\mid q - 1$ is abelian

Conditional bounds on generating fractions

Characterizing image of group homomorphism based on group order

$G$ a group of order 210. If $G$ is commutative show it is cyclic. If $G$ is any group show it contains a subgroup of index 2.

Clarification on proof of fundamental theorem of finite abelian groups

Calculate order of multiplicative group of finite field

(Prove)/Disprove that if group A of order 4 is NOT cyclic, then its elements are their own inverses

How to show the elements ${x^p}$ and $y$ are commute based on relation ${x^y}={x^{1+p}}$

$|G|=105$, Show that is $P_3$ is a Sylow-3-subgroup then $5||N_G(P_3)|$

Finding the group order from the presentation of a group and deciding if it is abelian

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