Results 261 to 270 of about 12,824,044 (290)
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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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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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On Pronormal Subgroups in Finite Simple Groups
Doklady Mathematics, 2018A subgroup $H$ of a group $G$ is called pronormal if for every $g\in G$, the groups $H$ and $H^g$ are conjugate in the subgroup they generate. In particular, normal subgroups and maximal subgroups are pronormal, as are Hall subgroups of solvable groups. The conjecture that subgroups of odd index in simple groups are pronormal turns out to be false, and
Kondrat'ev, A. S. +2 more
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On Strong Reality of Finite Simple Groups
Acta Applicandae Mathematicae, 2005A group \(G\) is said to be strongly real if, for every \(g\in G\), there exists an involution \(i\in G\) such that \(g^i=g^{-1}\). The authors prove that the following finite simple groups of Lie type over a field of order \(q\) and sporadic groups are not strongly real: (a) groups of types \(A_l\) (\(l\geq 2\)), \(^2A_l\) (\(l\geq 2\)), \(^2B_2\), \(^
Kolesnikov, S. G., Nuzhin, Ja. N.
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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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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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Locally finite simple groups whose non-Abelian subgroups are pronormal
Communications in Algebra, 2023Mattia Brescia, Marco Trombetti
exaly
On recognition of finite simple groups with connected prime graph
Siberian Mathematical Journal, 2009Andrey V Vasil'Ev
exaly