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 ...
متن کاملOn Minimal Non-b-groups
A finite group G is called a B-group if every proper subgroup of G is either normal or abnormal in G. In this paper the authors classify the non-B-groups whose proper subgroups are all B-groups.
متن کاملA Class of Generalized Supersoluble Groups
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.
متن کاملLanguages Recognized by Finite Supersoluble Groups
In this paper, we give two descriptions of the languages recognized by finite supersoluble groups. We first show that such a language belongs to the Boolean algebra generated by the modular products of elementary commutative languages. An elementary commutative language is defined by a condition specifying the number of occurrences of each letter in its words, modulo some fixed integer. Our sec...
متن کاملGeneralized Minimal Non-FC-Groups
Minimal non-FC-groups have been largely investigated and their structure is well-known. Minimal non-CC-groups, a first generalization of minimal non-FC-groups, have been investigated more recently and their complete description is still unknown. The present paper deals with generalizations of the notion of minimal non-FC-group in the context of locally nilpotent and locally solvable groups.
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2007
ISSN: 0213-2230
DOI: 10.4171/rmi/488