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On a Class of Generalized Nilpotent Groups

✍ Scribed by A. Ballester-Bolinches; Tatiana Pedraza

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 103 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9035

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✦ Synopsis

We explore the class of generalized nilpotent groups in the universe c of all radical locally finite groups satisfying min-p for every prime p. We obtain that this class is the natural generalization of the class of finite nilpotent groups from the finite universe to the universe c . Moreover, the structure of -groups is determined explicitly. It is also shown that is a subgroup-closed c -formation and that in every c -group the Fitting subgroup is the unique maximal normal -subgroup.

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