finite soluble groups
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] ...
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Subnormal Structure of Finite Soluble Groups
... every finite group has non-trivial Wielandt subgroup, and conse- quently Wielandt length is ...for finite soluble groups; they were found, respectively, by Camina in [8] and by Bryce and ...
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On some aspects of finite soluble groups
... [18] also considered the system normalizers of finite soluble groups and showed that these form a characteristic conjugacy class, cover the central chief factors and avoid the rest. The system ...
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Characterisations of some classes of finite soluble groups
... The University of Mainz, VIest Germany - the material is not accessible in the available literature. Our applications are, however, new. ;<br instance, in Section 3 we examine the restriction to a normal subgroup N or ...
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The nilpotent length of finite soluble groups
... Since a nilpotent group is the direct product of its Sylow sub- groups, the concepts "nilpotent" and "abelian" are identical for A-groups. In particular, the derived series of an A-group ...
58
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] ...
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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] ...
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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
Computing automorphisms of finite soluble groups
... a finite num ber of collection ...a finite num b er of collection ...a finite sequence th a t resu lts in a word of th e form ...a finite num ber of collection steps we o b tain a word h v t w ...
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Computing presentations for finite soluble groups
... C h a p te r 5 in v e stig ates p ra c tic a l a sp ects of a n im p le m e n ta tio n a n d p o in ts o u t a few im p o r ta n t co n sid era tio n s. W e d escrib e how to m odify fe a tu re s of a n im p le m e n ta ...
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Model subgroups of finite soluble groups
... where t is the number o f involutions in G, and consequently by a result of Frobenius and Schur [1, Corollary 4.6, page 51] every irreducible character o f G is afforded by a real representation. From here Baddeley [12] ...
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On the efficiency of finite groups
... of groups, stimulated by questions asked by Wiegold in [30], has been studied by several authors; see for example [1], [4], [7], ...three groups possessing certain properties are efficient and also give ...
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The use of permutation representations in structural computations in large finite matrix groups
... in finite matrix groups were carried out, by default, using base and strong generator set (BSGS) data structures, which were introduced originally by Sims [26] for computing in finite permutation ...
16
On finite arithmetic groups
... is obtained via adjoining all matrix entries of all g ∈ f(G) to the field F. We are also interested in the extra condition of stability of f (G) under the natural action of the absolute Galois group Gal( ¯ F /F ) for an ...
29
Complementation in finite groups
... The most obvious complementation problem to consider is that of groups in which all subgroups have complements; this class was studied" by Hall in H5, and was shown to have a simple stru[r] ...
138
On Baer-Shemetkov’s decomposition in modules and related topics
... infinite groups is significantly distinct from the theory of finite ...for finite groups to infinite groups often possible only for sufficiently narrow classes of infinite ...
13
Bieberbach groups with finite point groups
... the groups with the Groups, Algrorithms, and Programming (GAP) software [8] lead us first to characterize exactly the general Bieberbach group with trivial ...Bieberbach groups are of interest since ...
23
Product of Soluble Minimax Groups
... Amberg B. 1980. Lokal endlich-auflösbare Produkte von zwei hyperzentralen Gruppen. Arch. Math. (Basel) 35, 228-238. Ambrg B, Franciosi S and de Giovanni F.1991. Rank formulae for factorized groups. Ukrain. Mat. Z. ...
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Subnormality and soluble factorised groups
... infinite groups by Stonehewer in [StlL In particular Wielandt's result is true for the class of nilpotent-by-abelian groups, and also for all periodic groups which are ...is finite of order ...
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Subnormal structure in infinite soluble groups
... subnormal indices of their subnormal subgroups. By Theorem E of [76] the standard unrestricted wreath product of an arbitrary torsion-free abelian group with itself has the property that every subnormal subgroup has ...
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