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Acceptability of classical groups in non-zero characteristic

Author : Dr Saikat Panja

Year : 2023

Publisher : Elsevier Inc.

Source Title : Linear Algebra and Its Applications

Document Type :

Abstract

A group G is called to be acceptable (due to M. Larsen) if for any finite group H, two element-conjugate homomorphisms are globally conjugate. We prove that any semisimple algebraic group over an algebraically closed field of non-zero characteristics is not acceptable.