Results 211 to 220 of about 8,161 (245)
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Integral Group Rings of Finite Groups of Lie Type
Bulletin of the London Mathematical Society, 1999The 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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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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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, 2000Summary: 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, 1999This 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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On triangle generation of finite groups of Lie type
Journal of Group Theory, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Serial Group Rings of Finite Simple Groups of Lie Type
Journal of Mathematical Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kukharev, A. V., Puninski, G. E.
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Generic \(2\)-coverings of finite groups of Lie type.
2006Summary: In [J. Algebra 59, 202-221 (1979; Zbl 0409.20033)] it was shown by \textit{R. H. Dye} that in a symplectic group \(G:=\text{Sp}_{2l}(2^f)=\text{Iso}(V,\langle\cdot,\cdot\rangle)\) defined over a finite field of characteristic 2 every element in \(G\) stabilizes a quadratic form of maximal or non-maximal Witt index inducing the bilinear form \(\
BUBBOLONI, DANIELA +2 more
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A new formula for Lazard's correspondence for finite braces and pre-Lie algebras
Journal of Algebra, 2022Agata Smoktunowicz
exaly