Results 1 to 10 of about 211 (118)
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
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Mathematics, 2020 The structure of the commutator subgroup of Sylow 2-subgroups of an alternating group A 2 k is determined. This work continues the previous investigations of me, where minimal generating sets for Sylow 2-subgroups of alternating groups were ...
Ruslan Skuratovskii
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Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p [PDF]
Advances in Group Theory and Applications, 2022 During his lectures to the 1987 Singapore Group Theory Conference Otto H. Kegel proposed the following question: “If every subgroup S of the locally finite group G contains a finite p-subgroup which is singular in S, does G then satisfy the strong Sylow ...
Felix F. Flemisch
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On z-Reachable Subgroups of Finite Groups [PDF]
Advances in Group Theory and Applications, 2023 A finite group G is a z-group if every Sylow subgroup of G is cyclic. A subgroup H of a group G is called c-reachable (z-reachable) in G if there is a subgroup chain H = H0 ≤ H1 ≤ ... ≤ Hi ≤ Hi+1 ≤ ... ≤ Hn−1 ≤ Hn = G such that Hi+1 = HiKi, where Ki is a
Victor S. Monakhov, Irina L. Sokhor
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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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Finite groups with Quaternion Sylow subgroup
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
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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
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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
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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
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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
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