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Linear conjugacy
Published 24 Jul 2018 in math.RT, math.GR, and math.RA | (1807.09321v1)
Abstract: We say that two elements of a group or semigroup are $\Bbbk$-linear conjugates if their images under any linear representation over $\Bbbk$ are conjugate matrices. In this paper we characterize $\Bbbk$-linear conjugacy for finite semigroups (and, in particular, for finite groups) over an arbitrary field $\Bbbk$.
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