Results 221 to 230 of about 10,901 (271)

Conjugacy classes of derangements in finite groups of Lie type

Transactions of the American Mathematical Society. Series B, 2023
Let 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 ...
Sean Eberhard, Daniele Garzoni
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Representations of finite groups of Lie type

Mathematical Gazette, 2022
Villani writes convincingly, and I could not help but be reminded of observations by other celebrated mathematicians who have attempted to explain their fascination with the aesthetic appeal of the subject.
Mark Hunacek
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The Character Theory of Finite Groups of Lie Type

, 2020
Through 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.
M. Geck, G. Malle
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Finite simple unisingular groups of Lie type

Journal of Group Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guralnick, Robert M., Pham Huu Tiep
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Integral Group Rings of Finite Groups of Lie Type

Bulletin of the London Mathematical Society, 1999
The isomorphism problem for integral group rings, which is the question whether for two groups \(G\) and \(H\), \(\mathbb{Z} G\cong\mathbb{Z} H\) implies \(G\cong H\), is studied for certain finite groups of Lie type. Namely, if \(\mathbb{G}\) is a simply connected simple algebraic group over an algebraically closed field \(k\) of positive ...
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On fixed‐point‐free involutions in actions of finite exceptional groups of Lie type

Journal of the London Mathematical Society
Let G$G$ be a nontrivial transitive permutation group on a finite set Ω$\Omega$ . By a classical theorem of Jordan, G$G$ contains a derangement, which is an element with no fixed points on Ω$\Omega$ . Given a prime divisor r$r$ of |Ω|$|\Omega |$ , we say
Timothy C. Burness, Mikko Korhonen
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Serial Group Rings of Finite Simple Groups of Lie Type

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kukharev, A. V., Puninski, G. E.
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Finite Groups of Lie Type

1985
The finite groups of Lie type are of basic importance in the theory of groups. the author's intention here is to make theories of finite groups of Lie type, particularly the complex represenation theory which has been development since the fundamental breakthrough made by Deligne and Lusztig in 1976, accessible to a wider circle of mathematicians.
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Commutators in Finite Simple Groups of Lie Type

Bulletin of the London Mathematical Society, 2000
Summary: Using properties of the Steinberg character, we obtain a congruence modulo \(p\) for the number of ways in which a \(p\)-regular element may be expressed as a commutator in a finite simple group \(G\) of Lie type of characteristic \(p\). This congruence shows that such an element is a commutator in \(G\).
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Semisimple Modules for Finite Groups of Lie Type

Journal of the London Mathematical Society, 1999
This paper deals with criteria for semisimplicity of certain `low-dimensional' modules of finite groups of Lie type in the natural characteristic. More precisely, let \(k\) be an algebraically closed field of characteristic \(p>0\) and let \(G(q)\) with \(q=p^r\) denote a finite group of Lie type, arising as fixed points of a Frobenius endomorphism of ...
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