Journal ArticleDOI
Locally Solvable Finitary Linear Groups
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This article is published in Journal of The London Mathematical Society-second Series.The article was published on 1993-02-01. It has received 36 citations till now. The article focuses on the topics: Finitary & Finite group.read more
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Book ChapterDOI
Finitary Linear Groups: A Survey
TL;DR: A survey article outlining the current state of research in the area of finitary linear groups can be found in this paper, where special emphasis is placed on foundations, locally solvable groups, and locally finite groups.
Journal ArticleDOI
Linear groups with the minimal condition on subgroups of infinite central dimension
TL;DR: In this article, the authors studied infinite dimensional linear groups with the minimal condition on subgroups of infinite central dimension and showed that the minimization of the condition on the subgroups is not optimal.
Journal ArticleDOI
Linear groups with the maximal condition on subgroups of infinite central dimension
TL;DR: In this paper, the authors consider soluble linear groups, in which the (ordered by inclusion) set of subgroups baving infinite central dimension satisfies tbe maximal condition, and they define centdimF H tu be dimF(A/CA(H)).
Journal ArticleDOI
On classification of inductive limits of direct products of alternating groups
TL;DR: In this paper, simple inductive limits of direct products of alternating groups under block-diagonal embeddings (also called LDA-groups) are classified by the dimension groups of the corresponding Bratteli diagrams.
Book ChapterDOI
Non-Finitary Locally Finite Simple Groups
TL;DR: In this paper, the authors prove and discuss consequences of the following theorem: G is finitary, G is alternating type, and G is a projective special linear group with alternating type.