List questions from group-rings

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Published on 17 Mar 2013 - 5:14

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List Question

An algebraic algorithm for finding inverses in the group algebra

$G/G' \cong I/I^2$ where $I$ is the augmentation ideal

Quotient of ideal in group ring is isomorphic to abelianization

How to turn a group ring $R(G)$ into a ring?

Artin-Wedderburn decomposition of a particular group ring

Do group rings appear outside of representation theory?

Prove an inequality in a group ring

Computing the Group Ring $k[\mathbb Z / n \mathbb Z]$ for a Field $k$ of Characteristic $0$

$Z\pi \cong Z\oplus Z$ and so $P \cong Z$

Bijection between $KG$-modules and $K$-representations of $G$

How is ${}_{kG}\mathcal{M}$ a tensor category?

Center of a group ring?

Example of bialgebra

Same group ring implies same group

Show that $K [\Bbb Z]$ is an integral domain.

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