Results 151 to 160 of about 250 (183)

Subgroups of the Fan of Sylow Subgroups and the Supersolvability of a Finite Group

Mathematical Notes, 2021
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Sylow Normalizers with a Normal Sylow 2-Subgroup

Proceedings of the Edinburgh Mathematical Society, 2008
AbstractIf G is a finite solvable group and p is a prime, then the normalizer of a Sylow p-subgroup has a normal Sylow 2-subgroup if and only if all non-trivial irreducible real 2-Brauer characters of G have degree divisible by p.
Gabriel Navarro, Lucía Sanus
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Some Sylow subgroups

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1961
Abstract Most of the well-known theorems of Sylow for finite groups and of P. Hall for finite soluble groups have been extended to certain restricted classes of infinite groups. To show the limitations of such generalizations, examples are here constructed of infinite groups subject to stringent but natural restrictions, groups in ...
Kovacs, L. G., Neumann, B. H., De Vries, H.   +2 more
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Groups with Metacyclic Sylow 2-Subgroups

Canadian Journal of Mathematics, 1969
A group S is said to be metacyclic if it contains a normal cyclic subgroup N such that S/N is cyclic. In this note the following theorem is proved.THEOREM. Let G be a group, S a metacyclic Sylow 2-subgroup of G. If S has a cyclic normal subgroup N such that S/N is cyclic of order greater than 2, then G is soluble.Remark.
Camina, A. R., Gagen, T. M.
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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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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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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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Nice Error Bases and Sylow Subgroups

IEEE Transactions on Information Theory, 2008
Nice error bases have various applications in quantum computing such as in the teleportation of quantum states and in the theory of noiseless systems. Associated in a natural way to any nice error basis there is a so-called index group and also a group of central type.
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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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Sylow Subgroups

2018
Victor E. Hill, Thomas T. Read
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