List questions from group-rings

Published on 15 May 2015 - 10:48

26

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If $U(\mathbb{Z}G)$ is nilpotent/ FC group than $TU(\mathbb{Z}G)$ is a subgroup.

Published on 24 May 2015 - 12:09

27

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Unit group of $\mathbb{Z}C_m$

Published on 24 May 2015 - 13:45

71

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$\mathbb{Z}G\otimes_{\mathbb{Z}N} \mathcal{N}= \mathcal{N}^G$ is a non-trivial idempotent ideal in $\mathbb{Z}G$

Published on 24 May 2015 - 19:29

54

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Why $\zeta^m \alpha \in K[\zeta]$?

Published on 26 May 2015 - 22:37

221

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Categories for the working mathematician exercises III 1

Published on 29 May 2015 - 22:48

1.2k

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Simple K[G] module has dimension 1 over K

Published on 05 Jun 2015 - 22:38

418

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Positive Elements of $\mathbb{C}G$: as functionals versus as elements of the C*-algebra

Published on 10 Jun 2015 - 15:04

60

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If $R\subset S$, does it necessarily follow that $R[G]\subset S[G]$?

Published on 10 Jun 2015 - 21:50

282

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The augmentation ideal of $\mathbb{Z}G$

Published on 13 Jun 2015 - 16:05

103

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Ph.D thesis by Whitcomb

Published on 16 Jun 2015 - 21:46

488

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Show that $G$ is a basis of group ring $RG$ over $R$.

Published on 23 Jun 2015 - 18:49

78

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How to define a group ring when the group is infinte?

Published on 28 Jun 2015 - 16:26

1.8k

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Example of non isomorphic groups with isomorphic group algebras

Published on 29 Jun 2015 - 2:48

53

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Set of functions from a finite field to the integers

Published on 30 Jun 2015 - 20:17

List Question

about center of group rings $RG$ and $(R/I)G$

If $U(\mathbb{Z}G)$ is nilpotent/ FC group than $TU(\mathbb{Z}G)$ is a subgroup.

Unit group of $\mathbb{Z}C_m$

$\mathbb{Z}G\otimes_{\mathbb{Z}N} \mathcal{N}= \mathcal{N}^G$ is a non-trivial idempotent ideal in $\mathbb{Z}G$

Why $\zeta^m \alpha \in K[\zeta]$?

Categories for the working mathematician exercises III 1

Simple K[G] module has dimension 1 over K

Positive Elements of $\mathbb{C}G$: as functionals versus as elements of the C*-algebra

If $R\subset S$, does it necessarily follow that $R[G]\subset S[G]$?

The augmentation ideal of $\mathbb{Z}G$

Ph.D thesis by Whitcomb

Show that $G$ is a basis of group ring $RG$ over $R$.

How to define a group ring when the group is infinte?

Example of non isomorphic groups with isomorphic group algebras

Set of functions from a finite field to the integers

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