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Conjugacy classes of derangements in finite groups of Lie type
Transactions of the American Mathematical Society. Series B, 2023Let G G be a finite almost simple group of Lie type acting faithfully and primitively on a set Ω \Omega . We prove an analogue of the Boston–Shalev conjecture for conjugacy classes: the proportion of conjugacy classes of G G ...
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On algebraic normalisers of maximal tori in simple groups of Lie type
Journal of group theroy, 2023Let 𝐺 be a finite simple group of Lie type and let 𝑇 be a maximal torus of 𝐺. It is well known that if the defining field of 𝐺 is large enough, then the normaliser of 𝑇 in 𝐺 is equal to the algebraic normaliser N ( G , T ) N(G,T) .
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, 2020Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics.
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