Geodesic
Twisted conjugacy classes in general and special linear groups
Algebra i logika, Tome 51 (2012) no. 3, pp. 331-346

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider twisted conjugacy classes and the $R_\infty$-property for classical linear groups. In particular, it is stated that the general linear group $\mathrm{GL}_n(K)$ and the special linear group $\mathrm{SL}_n(K)$, for $n\ge3$, possess the $R_\infty$-property if either $K$ is an infinite integral domain with trivial automorphism group, or $K$ is an integral domain containing a subring of integers, whose automorphism group $\operatorname{Aut}(K)$ is finite. By an integral domain we mean a commutative ring with identity which has no zero divisors.
Keywords: linear group, twisted conjugacy classes, integral domain.
Mots-clés : automorphism group 
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     author = {T. R. Nasybullov},
     title = {Twisted conjugacy classes in general and special linear groups},
     journal = {Algebra i logika},
     pages = {331--346},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_3_a2/}
}
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T. R. Nasybullov. Twisted conjugacy classes in general and special linear groups. Algebra i logika, Tome 51 (2012) no. 3, pp. 331-346. http://geodesic.mathdoc.fr/item/AL_2012_51_3_a2/