A Class of Generalized Supersoluble Groups
نویسندگان
چکیده
This paper is devoted to the study of groups G in the universe cL̄ of all radical locally finite groups with min-p for all primes p such that every δ-chief factor of G is either a cyclic group of prime order or a quasicyclic group. We show that within the universe cL̄ this class of groups behaves very much as the class of finite supersoluble groups.
منابع مشابه
Supersoluble Groups
We shall term a group G supersoluble if every homomorphic image H9*l of G contains a cyclic normal subgroup different from 1. Supersoluble groups with maximum condition, in particular finite supersoluble groups, have been investigated by various authors: Hirsch, Ore, Zappa and more recently Huppert and Wielandt. In the present note we want to establish the close connection between supersoluble ...
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