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| Pàgina inicial > Articles > Articles publicats > Linear groups with the maximal condition on subgroups of infinite central dimension |
| Data: | 2006 |
| Resum: | 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. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Matèria: | Infinite dimensional linear groups ; The maximal condition ; Soluble groups |
| Publicat a: | Publicacions matemàtiques, V. 50 n. 1 (2006) p. 103-131, ISSN 2014-4350 |
