Locally Finite Groups with Bounded Centralizer Chains
نویسندگان
چکیده
منابع مشابه
On solubility of groups with bounded centralizer chains
The c-dimension of a group is the maximum length of a chain of nested centralizers. It is proved that a periodic locally soluble group of finite cdimension k is soluble of derived length bounded in terms of k, and the rank of its quotient by the Hirsch–Plotkin radical is bounded in terms of k. Corollary: a pseudo-(finite soluble) group of finite c-dimension k is soluble of derived length bounde...
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ژورنال
عنوان ژورنال: Algebra and Logic
سال: 2013
ISSN: 0002-5232,1573-8302
DOI: 10.1007/s10469-013-9248-3