Picard groups for blocks with normal defect groups and linear source bimodules

نویسندگان

چکیده

It is an open problem as to whether any bimodule inducing a Morita auto-equivalence of block must have endopermutation source. We prove that, for blocks b with normal defect groups in odd characteristic, stronger result holds, namely that all such bimodules linear also the analogous characteristic 2, provided group specific, slightly restrictive, form.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2022

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2022.08.022