Results 41 to 50 of about 222 (165)
Supersoluble conditions and transfer control [PDF]
International Journal of Group Theory, 2013 In this paper we give a new condition for a Sylow p-subgroup of a finite group to control transfer. Then it is deduced a characterization of supersoluble group that can be seen as a generalization of the well konwn result concerning the supersolubility ...
Anna Luisa Gilotti, Luigi Serena
doaj
Computing Sylow Subgroups in Permutation Groups
Journal of Symbolic Computation, 1997 This paper describes practical algorithms for the computation of Sylow subgroups of a permutation group \(G\) as well as for finding group elements that conjugate given Sylow subgroups into each other. For the first problem the following techniques have been in use: 1.
CANNON, JOHN, COX, BRUCE, HOLT, DEREK
openaire +1 more source
Sylow subgroups, exponents, and character values
Transactions of the American Mathematical Society, 2019 IfGGis a finite group,ppis a prime, andPPis a Sylowpp-subgroup ofGG, we study how the exponent of the abelian groupP/P′P/P’is affected and how it affects the values of the complex characters ofGG. This is related to Brauer’s Problem1212. Exactly how this is done is one of the last unsolved consequences of the McKay–Galois conjecture.
Navarro, Gabriel, Tiep, Pham Huu
openaire +2 more sources
On weakly SS-quasinormal and hypercyclically embedded properties of finite groups [PDF]
International Journal of Group Theory, 2014 A subgroup H is said to be s-permutable in a group G, if HP=PH hold for every Sylow subgroup P of G. If there exists a subgroup B of G such that HB=G and H permutes with every Sylow subgroup of B, then H is said to be SS-quasinormal in G.
Tao Zhao
doaj
Publications de l'Institut Mathematique, 2003 We give a new approach to description of p-Sylow subgroup normalizes in the groups Sn (symmetric group on n letters).
openaire +2 more sources
Partially S-embedded minimal subgroups of finite groups [PDF]
International Journal of Group Theory, 2013 Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes with every Sylow subgroup of G. If HP=PH hold for every Sylow subgroup P of G with (|P|, |H|)=1), then H is called an s-semipermutable subgroup of G.
Tao Zhao, Qingliang Zhang
doaj
On the semi cover-avoiding property and F-supplementation [PDF]
International Journal of Group Theory, 2012 In this paper, we investigate the influence of some subgrops of Sylow subgroups with semi cover-avoiding property and F-supplementation on the structure of finite groups and generalize a series of known results.
Xiaolan Yi, Changwen Li
doaj
Punctured groups for exotic fusion systems
Transactions of the London Mathematical Society, 2023 The transporter systems of Oliver and Ventura and the localities of Chermak are classes of algebraic structures that model the p‐local structures of finite groups.
Ellen Henke, Assaf Libman, Justin Lynd
doaj +1 more source
Linear characters of Sylow subgroups
Journal of Algebra, 2003 In this paper, the author was motivated by considering the McKay conjecture for finite groups with a self-normalizing Sylow \(p\)-subgroup. If \(p\geq 5\), the author clarifies the situation. Here are a few of the results in the paper: Theorem A.
openaire +2 more sources
Finite Groups with X-Quasipermutable Sylow Subgroups [PDF]
Ukrainian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolan Yi, Xue Yang
openaire +2 more sources