Results 151 to 160 of about 280 (183)
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Characters and generation of Sylow 2-subgroups
Representation Theory, 2021We show that the character table of a finite group G G determines whether a Sylow 2-subgroup of
Navarro G. +3 more
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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. +2 more
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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. +2 more
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Sylow Normalizers with a Normal Sylow 2-Subgroup
Proceedings of the Edinburgh Mathematical Society, 2008AbstractIf 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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Subgroups of the Fan of Sylow Subgroups and the Supersolvability of a Finite Group
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Groups with Metacyclic Sylow 2-Subgroups
Canadian Journal of Mathematics, 1969A 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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Sylow Subgroups of Locally Finite Groups
Proceedings of the London Mathematical Society, 1971The 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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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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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, 2008Nice 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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Simple groups and Sylow subgroups
2013Рассматривается 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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