soluble groups
A characterization of soluble groups in which normality is a transitive relation
... of soluble T -groups has been investigated by Robinson [15] in the general ...that soluble groups with the property T are metabelian and that any finitely generated soluble T -group ...
7
On modules over group rings of soluble groups with commutative ring of scalars
... study soluble groups with the condition max − nnd and generalize the results on soluble infinite dimensional linear groups with the condition max − id ...
13
On soluble groups whose subnormal subgroups are inert
... eralized soluble groups (with some finiteness conditions), a characterization of inertial groups was ...Inertial groups received attention also in the context of locally finite groups ...
8
Subnormal Structure of Finite Soluble Groups
... In [38] Helmut Wielandt, for whom the subgroup and series are named, showed in particular that every finite group has non-trivial Wielandt subgroup, and conse- quently Wielandt length is well-defined. Since then there ...
115
Soluble groups satisfying the minimal condition for normal subgroups
... of groups satisfying Min-n ...metanilpotent groups satisfying Min-n cannot be extended to give analogous results for the more general class of soluble groups of derived length three satisfying ...
129
On some aspects of finite soluble groups
... soluble groups which arise naturally as a consequence of the theory of ...finite soluble group has, corresponding to each saturated formation X containing the class ^ of all finite nilpotent ...
106
Locally soluble groups with the restrictions on the generalized norms
... studies groups with given restrictions on norms of decomposable and Abelian non-cyclic ...locally soluble groups, in which such norms are nonidentity and have the identity intersection, are ...
14
Characterisations of some classes of finite soluble groups
... finite soluble groups representation theory plays a key role , and the noraal structure of a finite soluble group eakes Clifford's theory of the representations of normal subgroups stand out as ...
199
On \(\frak{F}\)-radicals of finite \(\pi\)-soluble groups
... Let π be a nonempty set of prime numbers and π ′ the complement of π in the set of all prime numbers P . A group G is called π-soluble [2], if G has a chief series such that every chief factor in which is either ...
6
The strong containment lattice of Schunck classes of finite soluble groups
... The strong containment lattice of Schunck classes of finite soluble groups.. Andrew Philip Wilson.[r] ...
136
Subnormal structure in infinite soluble groups
... on soluble groups which w i l l be relevant in the context of Chapter 6 ...abelian groups defined by restrictions on rank: w e also introduce the class of abelian minimax ...to soluble ...
137
On the theory of fitting classes of finite soluble groups
... University of Warwick institutional repository: http://go.warwick.ac.uk/wrap A Thesis Submitted for the Degree of PhD at the University of Warwick http://go.warwick.ac.uk/wrap/36682 This[r] ...
98
Normalizers and covering subgroups of finite soluble groups
... fall away if we assume that our normal systems are integrated The·first part of chapter five is concerned with the existence and main properties of the JE-covering subgroups of the finit[r] ...
122
On $p$-soluble groups with a generalized $p$-central or powerful Sylow $p$-subgroup
... Abstract. Let G be a finite p-soluble group, and P a Sylow p-subgroup of G. It is proved that if all elements of P of order p (or of order 6 4 for p = 2) are contained in the k-th term of the upper central series ...
7
Intersections of prefrattini subgroups in finite soluble groups
... a soluble group ...a soluble group G as a G- module, Gasch¨ utz proved that G has a normal section that is a completely reducible G-module whose composition components are G-isomorphic to H/K, and its ...
5
A characterization via graphs of the soluble groups in which permutability is transitive
... As Dedekind did with groups in which all subgroups are normal, Iwa- sawa studied the groups in which all subgroups are permutable in [22]. Theorem 2. A group whose subgroups are permutable is a nilpotent ...
8
Automorphisms fixing subnormal subgroups of certain infinite soluble groups
... ABELIAN-BY-NILPOTENT GROUPS Recall from Chapter 5 our main result Theorem E, that if G is a finitely generated infinite metabelian group, then the group Autsn G is a finite Abelian group[r] ...
92
The nilpotent length of finite soluble groups
... critical groups are more easily proved in terms of what are called coirplete classes, and in this section it will be shovm how to translate the one concept into the ...of groups, then the tv7o concepts are ...
58
Computing automorphisms of finite soluble groups
... In this section we consider the general case of a non-split extension £. We s ta rt w ith a generating set for A ut G and com pute a g en eratin g set for A ut £. As in th e split case, we consider the m ap d from A ut £ ...
96
Computing presentations for finite soluble groups
... e soluble q u o tie n t alg o rith m in a jo in t p ro je c t w ith G eorge Havas an d M ...are soluble, a s tra te g y th a t uses th e solu ble q u o tie n t a lg o rith m seem s reaso n ab ...
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