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On stable equivalences of Morita type with twisted diagonal vertices (2512.06856v1)
Published 7 Dec 2025 in math.RT and math.GR
Abstract: We give a new proof, by using simplified terminology and notation, to a result of Puig stating that if a bimodule of two block algebras of finite groups over an algebraically closed field induces a stable equivalence of Morita type and has a twisted diagonal vertex, then it has an endopermutation module as a source. We also extend this result to arbitrary fields under a mild assumption.
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