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arXiv · 1112.0135

$G$-algebras, group graded algebras, and Clifford extensions of blocks

Tiberiu Coconet
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Abstract

Let $K$ be a normal subgroup of the finite group $H$. To a block of a $K$-interior $H$-algebra we associate a group extension, and we prove that this extension is isomorphic to an extension associated to a block given by the Brauer homomorphism. This may be regarded as a generalization and an alternative treatment of Dade's results "Block extensions" Section 12.

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Tiberiu Coconet. 2011-12-01. $G$-algebras, group graded algebras, and Clifford extensions of blocks. https://arxiv.org/abs/1112.0135

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