On some topics in the theory of infinite dimensional linear groups

M. R. Dixon, L. A. Kurdachenko, N. N. Semko, I. Ya. Subbotin

Abstract


In this paper we present a synopsis of some recent results concerned with infinite dimensional liner groups, including generalizations of irreducibility, the central dimension of a linear group, groups with finite dimensional orbits and the maximal and minimal conditions on subgroups of infinite central dimension.


Keywords


finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, augmentation dimension, finite orbit, finite dimensional orbit, minimal condition, maximal condition

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DOI: http://dx.doi.org/10.12958/adm1516

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