Linear groups with rank restrictions on the subgroups of infinite central dimension
نویسندگان
چکیده
منابع مشابه
Locally Nilpotent Linear Groups with the Weak Chain Conditions on Subgroups of Infinite Central Dimension
Let V be a vector space over a field F . If G≤GL(V, F ), the central dimension of G is the F -dimension of the vector space V/CV (G). In [DEK] and [KS], soluble linear groups in which the set Licd(G) of all proper infinite central dimensional subgroups of G satisfies the minimal condition and the maximal condition, respectively, have been described. On the other hand, in [MOS], periodic locally...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2007
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2006.04.002