TWISTED CONJUGACY IN LINEAR ALGEBRAIC GROUPS

dc.contributor.authorBhunia, Sushil
dc.contributor.authorBose, A.
dc.date.accessioned2020-12-30T04:49:49Z
dc.date.available2020-12-30T04:49:49Z
dc.date.issued2020
dc.description.abstractLet k be an algebraically closed field, G a linear algebraic group over k and φ ∈ Aut(G), the group of all algebraic group automorphisms of G. Two elements x; y of G are said to be φ-twisted conjugate if y = gxφ(g)–1 for some g ∈ G. In this paper we prove that for a connected non-solvable linear algebraic group G over k, the number of its φ-twisted conjugacy classes is infinite for every φ ∈ Aut(G).en_US
dc.identifier.citationTransformation Groupsen_US
dc.identifier.other10.1007/s00031-020-09626-9
dc.identifier.urihttps://link.springer.com/article/10.1007/s00031-020-09626-9
dc.identifier.urihttp://hdl.handle.net/123456789/3449
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.subjectLinear algebraicen_US
dc.subjectInfiniteen_US
dc.subjectG over ken_US
dc.titleTWISTED CONJUGACY IN LINEAR ALGEBRAIC GROUPSen_US
dc.typeArticleen_US

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