Results 271 to 280 of about 52,060 (313)

Finite Simple Groups

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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The periodic groups saturated by finitely many finite simple groups

Siberian Mathematical Journal, 2008
Summary: Denote by \(\mathcal M\) the set whose elements are the simple 3-dimensional unitary groups \(U_3(q)\) and the linear groups \(L_3(q)\) over finite fields. We prove that every periodic group, saturated by the groups of a finite subset of \(\mathcal M\), is finite.
Lytkina, D. V., Tukhvatullina, L. R., Filippov, K. A.   +2 more
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2-Signalizers of Finite Simple Groups

Algebra and Logic, 2003
Maximal 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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Flag ? transitive finite simple groups

Archiv der Mathematik, 1986
This 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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Locally Finite Simple Groups

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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Finite Simple Groups

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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Computing with finite simple groups

1974
Leech [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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Simple Groups of Finite Morley Rank

2008
The book gives a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup. They are linear algebraic groups over algebraically closed fields of characteristic 2. Although the story told in the book is inspired by the classification of the finite simple groups, it goes well ...
Altinel, Tuna, Borovik, Alexandre, Cherlin, Gregory   +2 more
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On Some Groups with Finite Involution Saturated with Finite Simple Groups

Mathematical Notes, 2002
By definition, a group \(G\) is saturated with finite simple subgroups if every finite subgroup of \(G\) is contained in a finite simple subgroup of \(G\). An involution \(t\in G\) is said to be finite if, for every \(g\in G\), the subgroup generated by \(t\) and \(t^g\) is finite.
Sozutov, A. I., Shlepkin, A. K.
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CHARACTERIZATION OF SOME FINITE SIMPLE GROUPS

Mathematics of the USSR-Izvestiya, 1971
The paper contains a characterization, by means of their biprimary subgroups of even order, of the following finite simple groups: the special projective linear groups PSL(2, q) (q > 3), the Suzuki groups Sz(q), and Janko's group J of order 175,560.
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