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arXiv · 1807.09321

Linear conjugacy

Benjamin Steinberg
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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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BibTeXRIS

Benjamin Steinberg. 2018-07-24. Linear conjugacy. https://doi.org/10.4153/s0008439519000031

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