List questions from finite-groups

Published on 03 Apr 2026 - 15:36

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Injective Homomorphism from a group into $GL_n$

Published on 02 Dec 2014 - 16:26

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Showing that G is solvable

Published on 02 Dec 2014 - 21:47

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Prove that $Q_{8}'=\{1,-1\}$. Is my proof correct?

Published on 02 Dec 2014 - 22:51

790

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A lemma which admits as an easy corollary the structure of the automorphism group of the alternating group on $n\geq 7$ elements

Published on 03 Dec 2014 - 9:08

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Commutators inside center of factor subgroups

Published on 03 Dec 2014 - 17:29

1.7k

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How many Sylow $3$-subgroups can a group of order $72$ have?

Published on 27 Mar 2026 - 8:42

107

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Existence of a normal subgroup in G

Published on 03 Dec 2014 - 21:26

125

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group without involution is 2-divisible

Published on 29 Mar 2026 - 15:23

286

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if $G$ is a finite group and every sylow subgroup of it is cyclic,prove that $G$ is super-solvable.

Published on 05 Dec 2014 - 11:18

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Exercise on Induced Representations of 1 dimensional complex representation

Published on 05 Dec 2014 - 16:56

701

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Isomorphism type of a finite group with respect to multiplication modulo 65

Published on 05 Dec 2014 - 22:27

1.5k

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Isomorphism of Quaternion group

Published on 29 Mar 2026 - 4:47

834

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Number of $n-1$-dimensional subspaces of $n$-dimensional space over finite field

Published on 06 Dec 2014 - 14:41

47

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Direct product of groups and isomorphism

Published on 26 Mar 2026 - 11:00

List Question

Trace group of a skew group algebra of a commutative domain

Injective Homomorphism from a group into $GL_n$

Showing that G is solvable

Prove that $Q_{8}'=\{1,-1\}$. Is my proof correct?

A lemma which admits as an easy corollary the structure of the automorphism group of the alternating group on $n\geq 7$ elements

Commutators inside center of factor subgroups

How many Sylow $3$-subgroups can a group of order $72$ have?

Existence of a normal subgroup in G

group without involution is 2-divisible

if $G$ is a finite group and every sylow subgroup of it is cyclic,prove that $G$ is super-solvable.

Exercise on Induced Representations of 1 dimensional complex representation

Isomorphism type of a finite group with respect to multiplication modulo 65

Isomorphism of Quaternion group

Number of $n-1$-dimensional subspaces of $n$-dimensional space over finite field

Direct product of groups and isomorphism

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