List questions from group-rings

Published on 08 Jan 2019 - 19:16

42

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Exponent of $1+J(GF),$ $J$ stands for Jacobson radical.

Published on 18 Jan 2019 - 16:26

226

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Group rings decomposition

Published on 20 Jan 2019 - 18:32

114

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Wedderburn decomposition of $F(Z_2\times Z_2).$

Published on 24 Jan 2019 - 16:47

402

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Group ring definition

Published on 05 Feb 2019 - 6:27

77

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Group algebra is domain iff doesn't contain nonzero element whose square is 0

Published on 04 Mar 2019 - 11:05

238

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Group ring $R[G]$ semisimple if and only if $J = J^2$?

Published on 23 Feb 2026 - 2:09

84

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Extending scalars from $\mathbb{Z}[G]$ to $\mathbb{Q}[G]$

Published on 21 Mar 2019 - 21:22

132

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Group Algebra of a Discrete Group and Different Notions of a Group Algebra?

Published on 22 Mar 2026 - 16:06

162

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Decomposition of $C[G]$ as $C[G]$-module into direct sum of submodules of the form $Ce_{\chi}$

Published on 11 Apr 2019 - 5:08

26

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Showing W=ku+kv has a unique module structure over kG

Published on 24 Apr 2019 - 13:13

551

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Abstract proof that $\lvert H^2(G,A)\rvert$ counts group extensions.

Published on 30 Apr 2019 - 22:01

58

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trivial modules of group rings

Published on 02 May 2019 - 1:23

34

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Proving that $\mathbb{F}_p[x_1,\dots,x_n]/(x_1^p,\dots,x_n^p)$ is a complete intersection ring

Published on 12 May 2019 - 13:48

244

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Sums of Commutators in a Group Ring

Published on 27 May 2019 - 13:26

List Question

How orbits of $G$-sets and these characters are related

Exponent of $1+J(GF),$ $J$ stands for Jacobson radical.

Group rings decomposition

Wedderburn decomposition of $F(Z_2\times Z_2).$

Group ring definition

Group algebra is domain iff doesn't contain nonzero element whose square is 0

Group ring $R[G]$ semisimple if and only if $J = J^2$?

Extending scalars from $\mathbb{Z}[G]$ to $\mathbb{Q}[G]$

Group Algebra of a Discrete Group and Different Notions of a Group Algebra?

Decomposition of $C[G]$ as $C[G]$-module into direct sum of submodules of the form $Ce_{\chi}$

Showing W=ku+kv has a unique module structure over kG

Abstract proof that $\lvert H^2(G,A)\rvert$ counts group extensions.

trivial modules of group rings

Proving that $\mathbb{F}_p[x_1,\dots,x_n]/(x_1^p,\dots,x_n^p)$ is a complete intersection ring

Sums of Commutators in a Group Ring

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