Results 1 to 10 of about 204 (147)
Maximal Sylow Subgroups of a Given Group. [PDF]
Proc Natl Acad Sci U S A, 1942 Not ...
Miller GA.
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Finite groups with seminormal or abnormal Sylow subgroups [PDF]
International Journal of Group Theory, 2020 Let $G$ be a finite group in which every Sylow subgroup is seminormal or abnormal. We prove that $G$ has a Sylow tower. We establish that if a group has a maximal subgroup with Sylow subgroups under the same conditions, then this group is ...
Victor Monakhov, Irina Sokhor
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Influence of the number of Sylow subgroups on solvability of finite groups
Comptes Rendus. Mathématique, 2021 Let $G$ be a finite group. We prove that if the number of Sylow $3$-subgroups of $G$ is at most $7$ and the number of Sylow $5$-subgroups of $G$ is at most $1455$, then $G$ is solvable. This is a strong form of a recent conjecture of Robati.
Anabanti, Chimere Stanley +2 more
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Influence of complemented subgroups on the structure of finite groups [PDF]
International Journal of Group Theory, 2021 P. Hall proved that a finite group $G$ is supersoluble with elementary abelian Sylow subgroups if and only if every subgroup of $G$ is complemented in $G$. He called such groups complemented. A. Ballester-Bolinches and X.
Izabela Malinowska
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Self-normalizing Sylow subgroups [PDF]
Proceedings of the American Mathematical Society, 2003 Using the classification of finite simple groups we prove the following statement: Let p > 3 p>3 be a prime, Q Q a group of automorphisms of p p -power order of a finite group G G , and P P a Q Q -invariant Sylow
Guralnick, Robert M. +2 more
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Groups Factorized by Pairwise Permutable Abelian Subgroups of Finite Rank [PDF]
Advances in Group Theory and Applications, 2016 It is proved that a group which is the product of pairwise permutable abelian subgroups of finite Prüfer rank is hyperabelian with finite Prüfer rank; in the periodic case the Sylow subgroups of such a product are described.
Bernhard Amberg, Yaroslav P. Sysak
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Sylow Subgroups in Parallel [PDF]
Journal of Algorithms, 1999 This paper presents efficient (NC) parallel algorithms for finding and conjugating Sylow subgroups of permutation groups. Like the sequential polynomial-time algorithms developed by Kantor over a dozen years earlier, these algorithms involve reducing to the case of simple groups and then using the classification of finite simple groups to provide a ...
Kantor, William M. +2 more
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Sylow multiplicities in finite groups [PDF]
International Journal of Group Theory, 2018 Let $G$ be a finite group and let $mathcal{P}=P_{1},ldots,P_{m}$ be a sequence of Sylow $p_{i}$-subgroups of $G$, where $p_{1},ldots,p_{m}$ are the distinct prime divisors of $leftvert Grightvert $. The Sylow multiplicity of $gin G$ in $mathcal{
Dan Levy
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A Simple Classification of Finite Groups of Order p2q2 [PDF]
Mathematics Interdisciplinary Research, 2018 Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are
Aziz Seyyed Hadi +2 more
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On metacyclic subgroups of finite groups [PDF]
International Journal of Group Theory, 2018 The aim of this survey article is to present some structural results about of groups whose Sylow p-subgroups are metacylic (p a prime). A complete characterisation of non-nilpotent groups whose 2-generator subgroups are metacyclic is also presented.
Adolfo Ballester-Bolinches
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