[PDF] Top 20 On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
Has 10000 "On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups" found on our website. Below are the top 20 most common "On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups".
On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups
... all maximal subgroups of Sylow subgroups of a group ...a group with given restrictions on M(G) belongs to Srinivasan, see ...a group G is supersolvable, if every subgroup ... See full document
8
On finite groups with Hall normally embedded Schmidt subgroups
... paper, p and q are always different primes. Recall that a p-closed group is a group with a normal Sylow p-subgroup, and a p-nilpotent group is a group of ... See full document
7
On well \(p\)-embedded subgroups of finite groups
... If A ≤ H, then G/H = BH/H ≃ B/B ∩ H is dispersive. Let now A 6⊆ H. Since |G/H| < |G|, we need to be shown that hypothesis of the theorem is true for G/H. Clearly, G/H = (HA/H)(BH/H), where HA/H is s-quasinormal in G/H ... See full document
15
On \(S\)-quasinormally embedded subgroups of finite groups
... and p a prime divisor of |H| such that (p − 1, |H|) = 1. Let P be a Sylow p-subgroup in ...all maximal subgroups in P are S-supplemented in G. Then H is ... See full document
8
Finite groups with some $SS$-embedded subgroups
... all subgroups, independently of whether they are normal, s-permutable, c-normal, nearly s-normal or S-embedded in G are SS-embedded subgroups of ...non-2-nilpotent group, then it is ... See full document
8
Minimal generating sets and Cayley graphs of Sylow \(p\)-subgroups of finite symmetric groups
... the group 𝐺 and denoted by ...all maximal subgroups of 𝐺. If 𝐺 is a finite 𝑝-group then Φ(𝐺) is the intersection of all subgroups of the index ... See full document
18
\(\mathbf{S}\)-Embedded subgroups in finite groups
... cyclic group of order 7 and its automorphism group, which is cyclic of order ...if P is a Sylow subgroup of G whose order is relatively prime to |H|, the order of P will be 3, and its ... See full document
8
Partially $S$-embedded minimal subgroups of finite groups
... that some subgroups of G satisfy the S-embedded property, many meaningful results have been derived (see [8], [10] ...a group G is said to be s-semipermutable (or s-seminormal) in G if ... See full document
10
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups
... s-permutably embedded in G. As a generalization of above series subgroups, ...a finite group called weakly s-permutably embedded ...a finite group G is said to be weakly ... See full document
8
On metacyclic subgroups of finite groups
... their Sylow p-subgroups, where p is a prime which is going to be ...Burnside’s p-nilpotency criterion stating that a group is p-nilpotent, ...Hall p ′ ... See full document
5
Connected components of the category of elementary abelian $p$ subgroups
... the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank 2 in a finite p-group G, for an odd prime ...is p if G has rank at least 3 and it ... See full document
7
Criterions of supersolubility of some finite factorizable groups
... Throughout this paper, all groups are finite. By well-known Fitting’s theorem [2, III, 4.1] the produkt of any two normal nilpotent subgroups is nilpotent as well. It is known however, that supersoluble ... See full document
10
Open normal subgroups in normally constrained pro-$p$ groups
... normal subgroups satisfy conditions of comparability with respect to inclusion raised some interest in the last ...of normally constrained pro-p groups introduced in [5]: a topologically ... See full document
8
Vol 2, No 5 (2011)
... of Sylow 2-subgroup of symmetric groups S n is studied by ...that Sylow 2-subgroup is self-normalized. The study in the numbers of Sylow subgroups (also called the Sylow numbers) is due ... See full document
5
Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees
... the Sylow p-subgroups of automorphism groups of level homogeneous rooted ...of Sylow p-subgroups of isometry groups of ultrametric Cantor p-spaces in terms of automorphism ... See full document
20
The number of maximal subgroups and probabilistic generation of finite groups
... context. Lubotzky [16], by considering the number of chief factors in a given chief series, and Detomi and Lucchini [8], with the help of the number λ(G) of non-Frattini chief factors in a given chief series of G and by ... See full document
12
Non-nilpotent groups with three conjugacy classes of non-normal subgroups
... with P . Then H = (H ∩P )(H ∩N ). In the groups (xii) and (xiii), P is maximal of order p and acts irreducibly on proper subgroups of N ; hence H 6 N ...the group (xii), ... See full document
7
On a variation of Sands' method
... Let G be a finite abelian group such that all Sylow subgroups of G are "Z-good." It remains an open question as to whether all Z-factorizations" of G can be obtained from the variation o[r] ... See full document
8
Finite groups with given $\\sigma$ embedded and $\\sigma$ $n$ embedded subgroups
... = P . Hence P = H G = HT = HR, and so P/R = HR/R = L/R is cyclic, which contradicts ...2 P ROOF OF M AIN T HEOREM : Suppose that this theorem is false and let (G, E) be a ... See full document
20
Translation planes of even order in which the dimension has only one odd factor
... the Sylow subgroups of odd order in a Frobenius complement are cyclic and the.. Sylow 2-groups are kit.her cyclic or generalized quaternion.[r] ... See full document
20
Related subjects