Question

A question about Group Rings

score 139 · Answer 1 · 2014-03-28 11:14:12

139

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A question about Group Rings

Published on 28 Mar 2014 - 11:14

score 510 · Answer 2 · 2014-06-03 16:44:50

510

Views

The division algebras arising in the Wedderburn decomposition of a finite group modulo its radical in characteristic $p$

Published on 03 Jun 2014 - 16:44

score 217 · Answer 3 · 2014-06-22 15:53:56

217

Views

Are augmented algebra maps of group algebras group homomorphisms?

Published on 22 Jun 2014 - 15:53

score 94 · Answer 4 · 2014-06-25 10:53:28

94

Views

group algebra and kernel

Published on 25 Jun 2014 - 10:53

score 1k · Answer 5 · 2014-07-08 09:22:32

1k

Views

Projective modules over $kG$ equivalent to injective.

Published on 08 Jul 2014 - 9:22

score 96 · Answer 6 · 2014-07-23 12:19:41

96

Views

Embedding the base ring in the augmentation ideal of a group algebra

Published on 23 Jul 2014 - 12:19

score 229 · Answer 7 · 2014-07-28 10:53:54

229

Views

Is the coefficient ring $R$ of a group ring $RG$ necessarily projective as an $RG$-module?

Published on 28 Jul 2014 - 10:53

score 211 · Answer 8 · 2014-08-05 21:21:05

211

Views

Identities of a group ring

Published on 05 Aug 2014 - 21:21

score 264 · Answer 9 · 2014-08-12 13:36:46

264

Views

Consider $\mathbf{Z}G$, $G$ finite. If the characters of two $\mathbf{Z}G$-modules are equal, does it follow that the modules are isomorphic?

Published on 12 Aug 2014 - 13:36

score 296 · Answer 10 · 2014-08-19 13:16:13

296

Views

Is the Transpose of a Representation an Equivalent Representation?

Published on 19 Aug 2014 - 13:16

score 510 · Answer 11 · 2014-08-20 02:41:56

510

Views

Jacobson radical of the integral group ring

Published on 20 Aug 2014 - 2:41

score 376 · Answer 12 · 2014-08-20 13:46:28

376

Views

Rational group algebras and maximal orders

Published on 20 Aug 2014 - 13:46

score 366 · Answer 13 · 2026-03-24 23:48:11

366

Views

Can the integral group ring construction be extended to groupoids in such a way that it provides a functor from Groupoids to Rings?

Published on 24 Mar 2026 - 23:48

score 1.2k · Answer 14 · 2014-10-12 13:48:04

1.2k

Views

Is the quotient of a torsion-free module torsion-free?

Published on 12 Oct 2014 - 13:48

score 93 · Answer 15 · 2014-10-14 12:41:10

93

Views

Is $R\otimes_R M\cong M$ when $R$ not necessarily commutative?

Published on 14 Oct 2014 - 12:41

List Question

A question about Group Rings

The division algebras arising in the Wedderburn decomposition of a finite group modulo its radical in characteristic $p$

Are augmented algebra maps of group algebras group homomorphisms?

group algebra and kernel

Projective modules over $kG$ equivalent to injective.

Embedding the base ring in the augmentation ideal of a group algebra

Is the coefficient ring $R$ of a group ring $RG$ necessarily projective as an $RG$-module?

Identities of a group ring

Consider $\mathbf{Z}G$, $G$ finite. If the characters of two $\mathbf{Z}G$-modules are equal, does it follow that the modules are isomorphic?

Is the Transpose of a Representation an Equivalent Representation?

Jacobson radical of the integral group ring

Rational group algebras and maximal orders

Can the integral group ring construction be extended to groupoids in such a way that it provides a functor from Groupoids to Rings?

Is the quotient of a torsion-free module torsion-free?

Is $R\otimes_R M\cong M$ when $R$ not necessarily commutative?

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