List questions from finite-groups

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A theorem of Brauer on characters and subgroup

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Show that $G=N_1 N_2$

Published on 18 May 2018 - 10:28

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Types of isomorphism between groups

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Distinct composition series of $Z_{30}$

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Decomposition of the symmetric square of the standard representation of the symetric group

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197

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If G is finite solvable then it has a normal subgroup of special form

Published on 25 Mar 2026 - 1:17

306

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Finding a 'colouring'/configuration of a cube such that the stabilizer is isomorphic to a given group

Published on 19 May 2018 - 10:38

139

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About conjugation class functions in abelian groups.

Published on 25 Mar 2026 - 13:53

544

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A finite normal subgroup is a subset of the center

Published on 25 Mar 2026 - 14:34

62

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On the non-nilpotent solvable groups

Published on 25 Mar 2026 - 1:15

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How to prove isomorphism with the Dihedral group

Published on 25 Mar 2026 - 9:27

99

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Show that $G=\langle g,h| hg^3, h^2g^5\rangle $ is equal to $\{e\}$

Published on 21 May 2018 - 8:19

69

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Prove that $G$ is cyclic

Published on 26 Mar 2026 - 2:44

657

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Center of the Rubik's Cube Group

Published on 22 Mar 2026 - 13:58

List Question

How many elements of order 9 does $Z_3 \times Z_{15} \times Z_{45}$ have?

A theorem of Brauer on characters and subgroup

Show that $G=N_1 N_2$

Types of isomorphism between groups

Distinct composition series of $Z_{30}$

Decomposition of the symmetric square of the standard representation of the symetric group

If G is finite solvable then it has a normal subgroup of special form

Finding a 'colouring'/configuration of a cube such that the stabilizer is isomorphic to a given group

About conjugation class functions in abelian groups.

A finite normal subgroup is a subset of the center

On the non-nilpotent solvable groups

How to prove isomorphism with the Dihedral group

Show that $G=\langle g,h| hg^3, h^2g^5\rangle $ is equal to $\{e\}$

Prove that $G$ is cyclic

Center of the Rubik's Cube Group

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