Results 31 to 40 of about 280 (183)
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
doaj +1 more source
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
doaj +1 more source
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
On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
Известия Иркутского государственного университета: Серия "Математика", 2017 A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
doaj +1 more source
Groups with a Cyclic Sylow Subgroup [PDF]
Nagoya Mathematical Journal, 1966 By focussing attention on indecomposable modular representations J. G. Thompson [11] has recently simplified and generalized some classical results of R. Brauer [1] concerning groups which have a Sylow group of prime order. In this paper this approach will be used to prove some results which generalize theorems of R. Brauer [2] and H. F. Tuan [12].
openaire +2 more sources
Characters, commutators and centers of Sylow subgroups
Representation Theory, 2023 The character table of a finite group G G determines whether
Navarro, Gabriel, Sambale, Benjamin
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
On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
doaj +1 more source
On finite state automaton actions of HNN extensions of free abelian groups
Karpatsʹkì Matematičnì Publìkacìï, 2021 HNN extensions of free abelian groups are considered. For arbitrary prime $p$ it is introduced a class of such extensions that act by finite automaton permutations over an alphabet $ \mathsf{X} $ of cardinality $p$ and belong to $p$-Sylow subgroup of the
V. Prokhorchuk
doaj +1 more source
Modular analogs of character formulas and minimal lifts of modular forms
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source