Results 281 to 290 of about 49,400 (294)
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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].
Dan Segal, Alexander Lubotzky
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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].
Dan Segal, Alexander Lubotzky
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On Centralizers of Locally Finite Simple Groups [PDF]
Mediterranean Journal of Mathematics, 2019 The aim of this article is to prove the following theorem. Let G be any infinite simple locally finite group. Then, either G is isomorphic to $$\mathrm{{PSL}}(2,F)$$ , where F is an infinite locally finite ...
Mattia Brescia, Alessio Russo
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Classes of finite simple groups
Ukrainian Mathematical Journal, 1989See the review in Zbl 0654.20011.
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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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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 a result of finite simple groups with simple subgroups
Mathematical Notes of the Academy of Sciences of the USSR, 1975The conjugacy of isomorphic semiregular subgroups of a symmetric group of permutations is established. It is proved that for any set of finite non-Abelian simple groups there exists a finite simple group as a result of this set.
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On products of finite simple groups
Archiv der Mathematik, 1983K. B. Tchakerian, Ts. R. Gentchev
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