[PDF] Top 20 A new characterization of finite \(\sigma\)-soluble \(P\sigma T\)-groups
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A new characterization of finite \(\sigma\)-soluble \(P\sigma T\)-groups
... Skiba, On weakly τ -quasinormal subgroups of finite groups, Acta Math.. Skiba, Finite groups in which τ -quasinormality is a tran-[r] ... See full document
9
A new characterization of some alternating and symmetric groups
... simple groups A n , where n = p,p+ 1, or p + 2, and finite groups S n , where n = p,p+ 1, are also uniquely determined by their order ...the groups S n , where n = p,p+ ... See full document
10
A new characterization of groups with central chief factors
... A result due to Gruenberg states that a finitely generated torsion free nilpotent group is a residually finite 𝑝-group for every prime 𝑝. See [4] - 5.2.21. We use property (X) to prove an extension of this result ... See full document
7
Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order
... A number of authors have examined the structure of a finite group G under the assumption that all subgroups of G of prime order are well- situated in G. The authors [1] showed that if G is a solvable group and ... See full document
7
Bieberbach groups with finite point groups
... Bieberbach groups are torsion-free crystallographic ...fundamental groups of compact, connected, flat Riemannian manifolds and have many interesting algebraic properties [4, ...Any new properties or ... See full document
23
Generation problems for finite groups
... In submitting this thesis to the University of St Andrews I understand that I am giving permission for it to be made available for use in accordance with the regulations of the University Library for the time being in ... See full document
110
Cohomologies of finite abelian groups
... of groups was inspired by the works of Hurewicz on cohomologies of acyclic spaces and was founded in 1940’s by Eilenberg–MacLane, Eckmann, Hopf and ...concrete groups and their ...a new approach to ... See full document
14
On finite arithmetic groups
... some new results (Theorem 5, Theorem 6, Theorem 10 below) and refinements of known ones as well as a new proof of our result in [4] (the main theorem) based on our expository results, applications of ... See full document
29
A note about splittings of groups and commensurability under a cohomological point of view
... of groups, involving the clas- sical end e(G), were proved in [12] and [13] by ...complete characterization for finitely generated groups which split over some finite ... See full document
10
Synthesis, characterization and electrical study of new bis-fused tetrathiafulvalenecontains functional groups
... new donors in solution by cyclic voltammetry to test whether they could readily be oxidized to generate new potentially conductive materials. This also allowed the stability of the oxidation states obtained ... See full document
9
Sylow multiplicities in finite groups
... any finite group G the product of all subgroups of G which are both normal and solvable is a normal and solvable subgroup, called the solvable radical of ...a characterization of the solvable radical in ... See full document
8
Supersoluble conditions and transfer control
... a new condition for a Sylow p-subgroup of a finite group to control ...a characterization of supersoluble groups that can be seen as a generalization of the well known result concerning the ... See full document
10
A characterization of supersolubility of finite groups
... some new characterizations of p-supersolubility of finite groups are obtained in [] under the as- sumption that the maximal subgroups of the Sylow subgroups of some special subgroups are ... See full document
6
The Multiplicative Degree of Some Finite Groups
... a new definition that is motivated from the relative commutativity degree, called the multiplicative degree of a group G was defined by (Abd Rhani et ...dihedral groups is ...metabelian groups of ... See full document
6
A new characterization of alternating groups
... If n is an integer, then we denote by π(n) the set of all prime divisors of n. Let G be a finite group. Denote by π(G) the set of primes p such that G contains an element of order p. Also the set of element orders ... See full document
6
Character expansiveness in finite groups
... a finite group G is conjugacy expansive if for any normal subset S and any conjugacy class C of G the normal set SC consists of at least as many conjugacy classes of G as S ... See full document
9
On the total character of finite groups
... In [14], M. L. Lewis began the study of those groups G for which (G, Z (G)) is a Camina pair and, proved that such a group G must be a p-group for some prime p. The next lemma ([15, Lemma 2.1]) was proved by ... See full document
21
Finite BCI-groups are solvable
... Abstract. Let S be a subset of a finite group G. The bi-Cayley graph BCay(G, S) of G with respect to S is an undirected graph with vertex set G × {1, 2} and edge set {{(x, 1), (sx, 2)} | x ∈ G, s ∈ S }. A ... See full document
6
On some invariants of finite groups
... All groups considered here are finite. Our notation will be standard, and similar to that in [5]. By an invariant of a group G we mean a nonnegative integer, say α(G), chosen in such a way that G ' H ... See full document
7
On metacyclic subgroups of finite groups
... metacyclic groups is closely related to the class of Q -admissible groups: a group G is said to be Q -admissible if there exists a Q -central division algebra containing a maximal subfield K such that G(K/ ... See full document
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