Results 311 to 320 of about 199,468 (335)
STRUCTURE AND PRESENTATIONS OF LIE-TYPE GROUPS [PDF]
Proceedings of the London Mathematical Society, 2000 The purpose of this work is a generalization of the class of Chevalley groups and twisted Chevalley groups in such a way that finite-dimensional classical groups over division rings, simple algebraic groups and groups of mixed type (in the terminology of \textit{J. Tits} [``Buildings of spherical type and finite BN-pairs'', Lect. Notes Math.
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Generation of exceptional groups of Lie-type [PDF]
Geometriae Dedicata, 1992 This paper is concerned with finding ways of generating a finite group of Lie type in one of the ten `exceptional' families, with a smaller number of elements. Theorem A shows how to choose a particular semisimple element \(s\) in such a group \(G\), such that \(\langle s\rangle\) is a maximal torus, and with the property that `almost all' elements \(x\
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1994
One of the most remarkable results of this century in mathematics has been the classification — completed in 1980 — of all the finite simple groups. This took over 20 years and occupies almost 5000 pages in the literature, and it is conceivable that there are some errors there, so the details of classification are not really available to us, but the ...
R. James Milgram, Alejandro Adem
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One of the most remarkable results of this century in mathematics has been the classification — completed in 1980 — of all the finite simple groups. This took over 20 years and occupies almost 5000 pages in the literature, and it is conceivable that there are some errors there, so the details of classification are not really available to us, but the ...
R. James Milgram, Alejandro Adem
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Physica Scripta, 2019
In fluid mechanics and ocean engineering, the (3+1)-dimensional B-type KP equations have attracted a good size of recent research. In this paper, the Lie group analysis is used to carry out the similarity reduction and exact solutions of the (3+1 ...
Sachin Kumar +2 more
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In fluid mechanics and ocean engineering, the (3+1)-dimensional B-type KP equations have attracted a good size of recent research. In this paper, the Lie group analysis is used to carry out the similarity reduction and exact solutions of the (3+1 ...
Sachin Kumar +2 more
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The homotopy types of compact lie groups
Israel Journal of Mathematics, 1985A homotopy theoretic and homological proof is given to a theorem of H. Scheerer: If two compact simply connected Lie groups are homotopy equivalent they are isomorphic. Both the original and the present proofs make use of the known list of the simple Lie groups. These are distinguishable by their mod 2 cohomology.
J. R. Hubbuck, R. M. Kane
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On the Steinberg-presentation for Lie-type groups [PDF]
Forum Mathematicum, 2003 The author characterizes the (perfect central extensions of the) little projective groups of the spherical Moufang buildings by means of the global commutation relations. More precisely, he presupposes the existence of subgroups (called `root groups') attached to the roots of a root system (irreducible with possibly multiple roots -- the cases \(BC_n\)
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, 1972
Partial table of contents: The Classical Simple Groups. Weyl Groups. Simple Lie Algebras. The Chevalley Groups. Unipotent Subgroups. The Diagonal and Monomial Subgroups. The Bruhat Decomposition. Polynomial Invariants of the Weyl Group.
Ian G. MacDonald
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Partial table of contents: The Classical Simple Groups. Weyl Groups. Simple Lie Algebras. The Chevalley Groups. Unipotent Subgroups. The Diagonal and Monomial Subgroups. The Bruhat Decomposition. Polynomial Invariants of the Weyl Group.
Ian G. MacDonald
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Modules for Groups of Lie Type
2002The main purpose of this chapter is to gather module results for Lie type groups in both their defining characteristic and in cross characteristic. So in Section 14.1 we itemize some of the key theorems in the representation theory of Lie type groups in their defining characteristic.
Christopher Parker, Peter Rowley
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Character ratios for finite groups of Lie type, and applications
, 2016For a finite group G, a character ratio is a complex number of the form χ(x) χ(1) , where x ∈ G and χ is an irreducible character of G. Upper bounds for absolute values of character ratios, particularly for simple groups, have long been of interest, for ...
M. Liebeck
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SUBGROUPS OF MAXIMAL RANK IN FINITE EXCEPTIONAL GROUPS OF LIE TYPE
, 1992The purpose of this paper is to investigate a large and natural class of maximal subgroups of the finite exceptional groups of Lie type, which we call subgroups of maximal rank.
M. Liebeck, J. Saxl, G. Seitz
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