Isomorphisms of fusion subcategories on permutation algebras

Tiberiu Coconeț; Constantin-Cosmin Todea

doi:10.36045/j.bbms.230224

Abstract

We prove two isomorphisms of some subcategories of fusion systems defined on $N$-interior $p$-permutation $G$-algebras by extending the main results obtained by M. E. Harris.

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Tiberiu Coconeț. Constantin-Cosmin Todea. "Isomorphisms of fusion subcategories on permutation algebras." Bull. Belg. Math. Soc. Simon Stevin 30 (5) 618 - 633, december 2023. https://doi.org/10.36045/j.bbms.230224

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Published: december 2023

First available in Project Euclid: 13 February 2024

Digital Object Identifier: 10.36045/j.bbms.230224

Subjects:

Primary: 20C20

Keywords: $G$-algebra , $p$-permutation , block , defect group , Finite group , Fusion system , group algebra

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