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

2016/08/09 by Inga Schwabrow, Schwabrow, Inga
Computer Science · Engineering · Mathematics · #20C05 #20C15 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1608.02727

openalex publication_date 2016/08/09 · openalex created_date 2016/09/30 · openalex updated_date 2026/07/28

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.

Citations

• On Centres of 3-blocks of the Ree groups ²G₂(q)

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