Abstract
Let 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).
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A. Bose is supported by DST-INSPIRE Faculty fellowship (IFA DST/INSPIRE/04/2016/001846).
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BHUNIA, S., BOSE, A. TWISTED CONJUGACY IN LINEAR ALGEBRAIC GROUPS. Transformation Groups 28, 61–75 (2023). https://doi.org/10.1007/s00031-020-09626-9
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DOI: https://doi.org/10.1007/s00031-020-09626-9