guest ::
| Home > Articles > Published articles > Linear groups with the maximal condition on subgroups of infinite central dimension |
| Home > Articles > Published articles > Linear groups with the maximal condition on subgroups of infinite central dimension |
| Date: | 2006 |
| Abstract: | Let A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise. We consider soluble linear groups, in which the (ordered by inclusion) set of all subgroups having infinite central dimension satisfies the maximal condition. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Infinite dimensional linear groups ; The maximal condition ; Soluble groups |
| Published in: | Publicacions matemàtiques, V. 50 n. 1 (2006) p. 103-131, ISSN 2014-4350 |
