List questions from group-rings

Published on 27 Feb 2026 - 12:30

60

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If $H\leq G$ and $|H|$ is invertible in a ring $R$, why does $RG/H\simeq e_HRG$?

Published on 28 Oct 2015 - 4:45

189

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Conditions for free/projective/flat module over a groupring

Published on 28 Oct 2015 - 17:00

53

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How do I view $k$ as $kG$-module?

Published on 09 Nov 2015 - 19:53

928

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Difference between $\mathbb{Z} G$-module and $G$-module

Published on 05 Mar 2026 - 18:45

36

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Equivalent condition for normalizer problem

Published on 02 Mar 2026 - 6:22

387

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group ring Z(G) is isomorphic to tensor algebra T(G)

Published on 07 Dec 2015 - 15:58

2.7k

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Prove that the augmentation ideal in the group ring $\mathbb{Z}/p\mathbb{Z}G$ is a nilpotent ideal ($p$ is a prime, $G$ is a $p$-group)

Published on 09 Dec 2015 - 10:12

429

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units of group ring $\mathbb{Q}(G)$ when $G$ is infinite and cyclic

Published on 13 Dec 2015 - 21:37

168

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Jacobson radical of integral group ring $\mathbb ZS_3$

Published on 18 Dec 2015 - 10:38

50

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Why does $\Bbb{Z}(G/H)$ has only trivial units?

Published on 28 Dec 2015 - 16:39

37

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order of $h_0 $ divides augmentation of $\alpha\in \Bbb{Z}H $

Published on 28 Dec 2015 - 18:10

30

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Show that $[u,g]\in G'$ where $u\in N_U(G)$

Published on 28 Dec 2015 - 19:22

1.6k

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Compute the Jacobson radical of the group ring $\mathbb{F}_2S_3$.

Published on 31 Dec 2015 - 4:11

51

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Isomorphism map from $\Bbb{Q}(C_2\times C_2) $ to $\Bbb{Q} \oplus\Bbb{Q} \oplus\Bbb{Q} \oplus\Bbb{Q} $

Published on 07 Jan 2016 - 12:24

List Question

What is the augmentation ideal of $\Bbb{Z}S_3$

If $H\leq G$ and $|H|$ is invertible in a ring $R$, why does $RG/H\simeq e_HRG$?

Conditions for free/projective/flat module over a groupring

How do I view $k$ as $kG$-module?

Difference between $\mathbb{Z} G$-module and $G$-module

Equivalent condition for normalizer problem

group ring Z(G) is isomorphic to tensor algebra T(G)

Prove that the augmentation ideal in the group ring $\mathbb{Z}/p\mathbb{Z}G$ is a nilpotent ideal ($p$ is a prime, $G$ is a $p$-group)

units of group ring $\mathbb{Q}(G)$ when $G$ is infinite and cyclic

Jacobson radical of integral group ring $\mathbb ZS_3$

Why does $\Bbb{Z}(G/H)$ has only trivial units?

order of $h_0 $ divides augmentation of $\alpha\in \Bbb{Z}H $

Show that $[u,g]\in G'$ where $u\in N_U(G)$

Compute the Jacobson radical of the group ring $\mathbb{F}_2S_3$.

Isomorphism map from $\Bbb{Q}(C_2\times C_2) $ to $\Bbb{Q} \oplus\Bbb{Q} \oplus\Bbb{Q} \oplus\Bbb{Q} $

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