Results 1 to 10 of about 1,283 (225)
Finite groups with Quaternion Sylow subgroup [PDF]
Comptes Rendus. Mathématique, 2021 In this paper we show that a finite group $G$ with Quaternion Sylow $2$-subgroup is $2$-nilpotent if, either $3\nmid |G|$ or $G$ is solvable and the order of its Sylow $2$-subgroup is strictly greater than $16$.
Mousavi, Hamid
doaj +3 more sources
Application of t-intuitionistic fuzzy subgroup to Sylow theory [PDF]
Heliyon, 2023 In this paper, we define the notion of a t-intuitionistic fuzzy conjugate element and determine the t-intuitionistic fuzzy conjugacy classes of a t-intuitionistic fuzzy subgroup. We propose the idea of a t-intuitionistic fuzzy p− subgroup and prove the t-
Laila Latif, Umer Shuaib
doaj +2 more sources
Hopf-Galois structures on extensions of degree p2q and skew braces of order p2q: The cyclic Sylow p-subgroup case [PDF]
Journal of Algebra, 2020 Elena Campedel +2 more
exaly +2 more sources
On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups
Karpatsʹkì Matematičnì Publìkacìï, 2013 The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$.
Yu.Yu. Leshchenko, L.V. Zoria
doaj +4 more sources
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
doaj +1 more source
Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$
Researches in Mathematics, 2021 The permutation code (or the code) is well known object of research starting from 1970s. The code and its properties is used in different algorithmic domains such as error-correction, computer search, etc.
V.A. Olshevska
doaj +1 more source
n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
doaj +1 more source
A study on the structure of finite groups with $c$-subnormal subgroups [PDF]
International Journal of Group Theory, 2023 In this paper, we use the definition of the concept ``c-Subnormal Subgroup" to study the structure of a given finite group $G$ which contains some $c-$subnormal subgroups. We prove two main theorems, which answer the question of what conditions must hold
Jehad Al Jaraden, Dana Jaraden
doaj +1 more source
Some criteria for solvability and supersolvability [PDF]
Journal of Mahani Mathematical Research, 2023 Denote by $ G $ a finite group, by $ {\rm hsn}(G) $ the harmonic mean Sylow number (eliminating the Sylow numbers that are one) in $G$ and by $ {\rm gsn}(G) $ the geometric mean Sylow number (eliminating the Sylow numbers that are one) in $G$.
Zohreh Habibi, Masoomeh Hezarjaribi
doaj +1 more source
Infinite locally finite simple groups with many complemented subgroups [PDF]
International Journal of Group Theory, 2022 We prove that the following families of (infinite) groups have complemented subgroup lattice: alternating groups, finitary symmetric groups, Suzuki groups over an infinite locally finite field of characteristic $2$, Ree groups over an infinite ...
Maria Ferrara, Marco Trombetti
doaj +1 more source