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Finite simple groups on triple systems
Ars Mathematica Contemporanea, 2023Summary: Let \(\mathcal{D}\) be a triple system, and let \(G\) be a finite simple group. In this paper we almost determine all possibilities of \(\mathcal{D}\) admitting \(G\) as its flag-transitive automorphism group.
Xiaoqin Zhan, Xuan Pang, Suyun Ding
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2003
In a statistical sense, the simple groups (by which we mean, in this window, non-abelian finite simple groups) are quite rare: the Godfather of the subject has likened them to fossils, occasionally found buried among the composition factors of a general finite group [Thompson 1984].
Alexander Lubotzky, Dan Segal
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In a statistical sense, the simple groups (by which we mean, in this window, non-abelian finite simple groups) are quite rare: the Godfather of the subject has likened them to fossils, occasionally found buried among the composition factors of a general finite group [Thompson 1984].
Alexander Lubotzky, Dan Segal
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2-Signalizers of Finite Simple Groups
Algebra and Logic, 2003Maximal 2-signalizers and centralizers of Sylow 2-subgroups in all finite simple groups are described. Also normalizers are computed for Sylow 2-subgroups in the finite simple groups of exceptional Lie type over a field of odd characteristic.
Kondrat'ev, A. S., Mazurov, V. D.
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Computing with finite simple groups
1974Leech [9] and Birkhoff and Hall [1] are standard references to computational group theory. The lesser-known Petrick [13] contains many articles on symbolic manipulation and group-theoretic work including a description by Sims of techniques he has developed to compute with very large degree permutation groups. These ideas have been used by him [14] most
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1974
The group G is locally finite if each of its finitely generated subgroups is finite. Until rather recently the area of locally finite groups entirely belonged to the wilderness of counter-examples; and there absurdly wild behaviour is possible, indeed. What little progress has been made in cultivating some fringes of this wilderness is essentially due ...
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The group G is locally finite if each of its finitely generated subgroups is finite. Until rather recently the area of locally finite groups entirely belonged to the wilderness of counter-examples; and there absurdly wild behaviour is possible, indeed. What little progress has been made in cultivating some fringes of this wilderness is essentially due ...
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On periodic groups saturated by finite simple groups
Siberian Mathematical Journal, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1983
I wish to thank the organizers of this symposium for inviting me to speak and enabling me to discuss some consequences of the classification of the finite simple groups.
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I wish to thank the organizers of this symposium for inviting me to speak and enabling me to discuss some consequences of the classification of the finite simple groups.
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Flag ? transitive finite simple groups
Archiv der Mathematik, 1986This paper is part of a programme aiming at the classification of all pairs (S,G) where S is a finite linear space (or a 2-(v,k,1) design) and G is a flag-transitive automorphism group of S (flag means incident point-line pair). As shown in a forthcoming paper by Buekenhout, Delandtsheer and Doyen, the group G is necessarily either of affine or of ...
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On recognition of finite simple groups with connected prime graph
Siberian Mathematical Journal, 2009Andrey V Vasil'Ev +2 more
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