List questions from finite-groups

Published on 17 Jun 2014 - 8:25

41

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Is $H/H_0 = HG/H_0G$?

Published on 17 Jun 2014 - 12:28

69

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Using a theorem to find the center of a $p$-sylow subgroup of simple group

Published on 25 Mar 2026 - 9:49

62

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Poincare polynomial of a finite $G$-module with $G$ being a $p$-group

Published on 17 Jun 2014 - 15:30

40

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Sort-of-multiplicative functions on the group algebra

Published on 17 Jun 2014 - 19:10

94

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Derived Subgroup and Factor Groups

Published on 17 Jun 2014 - 21:20

188

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FC groups with infinite derived subgroup which are not constructed by direct product of finite groups.

Published on 18 Jun 2014 - 15:49

176

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Recovering a group action from sizes of orbits of individual elements

Published on 27 Mar 2026 - 22:04

783

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Mapping from $\{1,\ldots,n!\}$ to the symmetric group $S_n$

Published on 20 Jun 2014 - 10:33

192

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Simple groups of order 7920

Published on 25 Mar 2026 - 9:47

36

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Having trouble understanding phrasing.

Published on 27 Mar 2026 - 17:05

45

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Understanding the elements in groups(modulo, cyclic and other(?))

Published on 21 Jun 2014 - 9:13

1.3k

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Showing that $ϕ(x)=x^n$ is a homomorphism from $G\to Z(G)$

Published on 28 Mar 2026 - 3:03

137

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Show that: $\frac{D_n}{\langle a\rangle}\simeq\mathbb{Z_2}$

Published on 21 Jun 2014 - 17:27

904

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Group of permutations and disjoint cycles.

Published on 22 Jun 2014 - 15:42

List Question

Two 3-cycles generate $A_5$

Is $H/H_0 = HG/H_0G$?

Using a theorem to find the center of a $p$-sylow subgroup of simple group

Poincare polynomial of a finite $G$-module with $G$ being a $p$-group

Sort-of-multiplicative functions on the group algebra

Derived Subgroup and Factor Groups

FC groups with infinite derived subgroup which are not constructed by direct product of finite groups.

Recovering a group action from sizes of orbits of individual elements

Mapping from $\{1,\ldots,n!\}$ to the symmetric group $S_n$

Simple groups of order 7920

Having trouble understanding phrasing.

Understanding the elements in groups(modulo, cyclic and other(?))

Showing that $ϕ(x)=x^n$ is a homomorphism from $G\to Z(G)$

Show that: $\frac{D_n}{\langle a\rangle}\simeq\mathbb{Z_2}$

Group of permutations and disjoint cycles.

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