Centres of blocks of finite groups with trivial intersection Sylow $p$-subgroups

Inga Schwabrow

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arXiv · 1608.02727

Centres of blocks of finite groups with trivial intersection Sylow $p$-subgroups

Inga Schwabrow

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Abstract

For finite groups $G$ with non-abelian, trivial intersection Sylow $p$-subgroups, the analysis of the Loewy structure of the centre of a block allows us to deduce that a stable equivalence of Morita type does not induce an algebra isomorphism between the centre of the principal block of $G$ and the centre of the Brauer correspondent. This was already known for the Suzuki groups; the result will be generalised to cover more groups with trivial intersection Sylow $p$-subgroups.

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BibTeX RIS

Inga Schwabrow. 2016-08-09. Centres of blocks of finite groups with trivial intersection Sylow $p$-subgroups. https://arxiv.org/abs/1608.02727

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