Results 131 to 140 of about 222 (165)

Infinite groups with Sylow permutable subgroups

Annali di Matematica Pura ed Applicata, 2009
Let \(G\) be a periodic group. A subgroup \(H\) of \(G\) is said to be `\(S\)-permutable' if \(HP=PH\) for each Sylow subgroup \(P\) of \(G\). It is known that \(S\)-permutability is not a transitive relation, and a `PST-group' is a periodic group in which \(S\)-permutability is transitive.
Ballester-Bolinches, Adolfo, Kurdachenko, Leonid A., Otal, Javier, Pedraza, Tatiana   +3 more
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Sylow Subgroups of Locally Finite Groups

Proceedings of the London Mathematical Society, 1971
The theorems of Sylow are among the most basic in the theory of finite groups, and Hall’s theorems on the existence and conjugacy of Hall π-subgroups occupy a similarly central position in the theory of finite soluble groups. It is therefore natural to ask for what kinds of infinite groups results like them are true, and to what extent other parts of ...
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Finite groups with seminormal Sylow subgroups

Acta Mathematica Sinica, English Series, 2008
The main result of this paper is the following: Let \(p\) be a prime number, \(P\) a Sylow \(p\)-subgroup of a group \(G\) and \(\pi=\pi(G)\setminus\{p\}\). If \(P\) is seminormal in \(G\), the following statements hold: (1) \(G\) is a \(p\)-soluble group and \(P'\leq O_p(G)\); (2) \(l_p(G)\leq 2\) and \(l_\pi(G)\leq 2\); (3) if a \(\pi\)-Hall subgroup
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CLASSIFICATION OF REFLECTION SUBGROUPS MINIMALLY CONTAINING -SYLOW SUBGROUPS

Bulletin of the Australian Mathematical Society, 2017
Let a prime $p$ divide the order of a finite real reflection group. We classify the reflection subgroups up to conjugacy that are minimal with respect to inclusion, subject to containing a $p$-Sylow subgroup. For Weyl groups, this is achieved by an algorithm inspired by the Borel–de Siebenthal algorithm.
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On the permutability of sylow subgroups with Schmidt subgroups

Proceedings of the Steklov Institute of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knyagina, V. N., Monakhov, V. S.
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The 2-Sylow Subgroup

1989
One of the most carefully studied questions about quadratic class groups is the precise determination of the 2-Sylow subgroup. This is intimately connected, in the case of positive discriminant, with the question of which discriminants Δ possess solutions of the negative Pell equation $$ {X^2} - \Delta {Y^2} = - 4 $$ (9.1) and both questions ...
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Sylow subgroups of finite permutation groups

1974
If G is a transitive group of permutations on a set Ω of n points, and if P is a Sylow p-subgroup of G for some prime p dividing |G|, then our object is to obtain information about the structure of P as a permutation group on Ω. Questions like the following arise naturally.
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SIMPLE GROUPS WITH LARGE SYLOW SUBGROUPS

Mathematics of the USSR-Sbornik, 1982
A. I. Kostrikin posed the problem of the structure of a simple group having a Sylow -subgroup for which , and whenever . It has been established by the author that , and are the only simple groups of this kind. Earlier Brauer and Reynolds have found the solution to the problem of Artin which is the partial case of Kostrikin's problem when .
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Sylow Subgroups

2018
Victor E. Hill, Thomas T. Read
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Simple groups and Sylow subgroups

2013
Рассматривается проблема характеризации силовских 2-подгрупп (небольшого порядка 6 210) конечных простых групп. Описываются некоторые (возможно необходимые) шаги по ее редукции. Оставшаяся часть статьи посвящена конечным группам, силовскими подгруппами порядка p 3 в которых являются экстраспециальные p ...
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