On some topics in the theory of infinite dimensional linear groups

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

Algebra and discrete mathematics, Tome 29 (2020) no. 1, pp. 1-32.

Résumé

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.

Détail

Keywords: finite central dimension, irreducible group, quasi-irreducible group, FC-hypercentral, finite orbit, finite dimensional orbit
Mots-clés : augmentation dimension, minimal condition, maximal condition.

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