Linear groups with the maximal condition on subgroups of infinite central dimension

Autores: L.A. Kurdachencko, Igor Ya. Subbotin
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 50, Nº 1, 2006, págs. 103-131
Idioma: inglés
DOI: 10.5565/publmat_50106_06
Enlaces
- Texto completo
Resumen
- Let A a vector opace over a ficíd E and let H be a subgroop of GL(F, A). We define centdimF H tu be dimF(A/CA(H)). Wc say tbat H bas finite central dimeosion if centdimF H is finite and we say tbat H bao inJlnite central dimeosiso otherwise. We consider soluble linear groups, in which the (ordered by inclusion) set of ah subgroups baving infinite central dimension satísfies tbe maxímal condition.