Geodesic
Linear Conjugacy
Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 886-895

Voir la notice de l'article provenant de la source Cambridge University Press

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 $\Bbbk$.
DOI : 10.4153/S0008439519000031
Mots-clés : monoid, representation theory, conjugacy 
Steinberg, Benjamin. Linear Conjugacy. Canadian mathematical bulletin, Tome 62 (2019) no. 4, pp. 886-895. doi: 10.4153/S0008439519000031
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