[PDF] Top 20 On some locally soluble infinite dimensional linear groups
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On some locally soluble infinite dimensional linear groups
... for soluble (and even hyperabelian) groups finite abelian section rank is equivalent to finite abelian subgroup rank (that is, the abelian subgroups of G have finite p-rank for p ≥ ... See full document
10
Linear groups saturated by subgroups of finite central dimension
... Dedicated to Leonid Kurdachenko for his 70th birthday A b s t r ac t . Let F be a field, A be a vector space over F and G be a subgroup of GL(F, A). We say that G has a dense family of subgroups, having finite central ... See full document
12
A study of the infinite dimensional linear and symplectic groups
... {e(Ü,R,^) : ^ < w) of normal subgroups of E(a,R,w). , Ihe results of chapter three show that when R is d-finite each normal subgroup H of GL(OpR) determines a unique ideal p of R such that H lies between E(^,p) and ... See full document
150
Locally soluble groups with the restrictions on the generalized norms
... where |b| = 2. By the results of [13] the centralizer C contains all elements of infinite order of a group G and all its Abelian non-cyclic subgroups. Moreover, the periodic part T (C) of the subgroup C is normal ... See full document
14
On locally soluble \(\mathrm A \mathrm F \mathrm N\)-groups
... is infinite, then G must be a product of two proper non finitely generated subgroups, what again gives a ...for some prime ...an infinite abelian-by- finite periodic ...for some prime p or G ... See full document
12
On modules over group rings of locally soluble groups for a ring of \(p\)-adic integers
... infinite dimensional linear groups with the large system of sugroups which are similar to finite dimensional ...The linear groups of finite central dimension turned out very similar ... See full document
12
The structure of infinite dimensional linear groups satisfying certain finiteness conditions
... discuss some alternative approaches to the study of a infinite dimensional central linear groups, based on the use of different finiteness conditions, namely the different chain ...of ... See full document
15
Locally graded groups with a condition on infinite subsets
... every infinite set of elements of G contains elements x ̸ = y, z such that [x, y, z] = 1 = [y, z, x] = [z, x, ...polycyclic groups, S the class of all soluble groups, R the class of all ... See full document
7
Infinite groups with many generalized normal subgroups
... a locally soluble (normal) subgroup of finite index by Lemma ...of infinite subgroups which are not almost normal. Let X be any infinite subgroup of G, and let J be the finite residual of ... See full document
11
On some linear groups, having a big family of \(G\)-invariant subspaces
... of action of a group G. We have the following simple fact: if every subspace of A is G-invariant, then G must be abelian. Consequently the study of infinite dimensional linear groups having ... See full document
9
On some topics in the theory of infinite dimensional linear groups
... of infinite dimensional linear groups is fundamentally dif- ferent from the theory of finite dimensional linear ...finite dimensional linear groups, one can ... See full document
32
A note on groups with many locally supersoluble subgroups
... of groups, a group G is said to be minimal non-X if G is not an X-group, but all its proper subgroups belong to ...Tarski groups, i.e. infinite simple groups whose proper non-trivial subgroups ... See full document
7
On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
... of groups of finite special rank is one of the best developed part of group theory ( see, for example, surveys [3-5] and the book [6] ...the groups, whose subgroups of infinite special rank have ... See full document
11
Generalized norms of groups
... of groups, which non-cyclic norm is ...Olshansky infinite groups [97] exist, periodic groups were considered by the authors provided their local ...Olshansky infinite groups are ... See full document
34
Algorithms for polycyclic by finite groups
... An up-to-date version of the source code (written in the Magma language) fulfill- ing the implementation may be found on the compact disc accompanying this thesis. The reader should consult the documentation provided ... See full document
256
The algebraic structure of topological algebras
... The structure of the ideals, in particular the prime ideals, of Frechet and Banach algebras is examined and we show that no infinite dimensional separable Banach algebra can be a locally[r] ... See full document
132
Recurrent points and discrete points for elementary amenable groups
... Moreover, every periodic group in EG is locally finite, and since it is known that every infinite locally finite group contains an infinite abelian subgroup.. is an infinite group in.[r] ... See full document
8
Characterisations of some classes of finite soluble groups
... Much of what follows in this section is well-known and , where possible, the reader will be referred to the relevant literature for proofs. Unfortunately, many authors are concerned only with extending the base field of ... See full document
199
2 groups, 2 characters, and Burnside rings
... Section 3 is devoted to 2-representations. If K = (H → G) then a 2-representation of G yields a 2-cocycle for G (Lemma 3.2). At this stage we uncover another subtlety: the cocycle may or may not be realized on a finite ... See full document
39
Extending Kantorovich Type Inequalities to Normal Operators
... in some of our other papers we have proved Kantorovich-Type inequalities by converting them to an Antieigenvalue-Type problem and then finding the minimizing vectors for the Antieigenvalue-Type problems ...[16]). ... See full document
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