منابع مشابه
On 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 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.
متن کاملON MINIMAL NON-p-CLOSED GROUPS AND RELATED PROPERTIES
Let p be a prime. A group is called p-closed if it has a normal Sylow p-subgroup and it is called p-exponent closed if the elements of order dividing p form a subgroup. A group is minimal non-p-closed if it is not p-closed but its proper subgroups and homomorphic images are. Similarly, a group is called minimal non-p-exponent closed if it is not p-exponent closed but all its proper subgroups an...
متن کاملOn Weakly O-minimal Non-valuational Expansions of Ordered Groups
Let M = 〈M,<,+, . . .〉 be a weakly o-minimal expansion of an ordered group. This paper has two parts. In the rst part, we introduce the notion of M having no external limits and use it to prove that a large collection of non-valuational structures M do not admit de nable Skolem functions. In the second part, we provide an alternative characterization of the canonical o-minimal completion from [...
متن کاملOn a Problem of Minimal Non-fc-groups
In this paper Problem 17.13 by A.O. Asar in The Kourovka Notebook is studied which is ’Let G be a totally imprimitive p− group of finitary permutations on an infinite set. Suppose that the support of any cycle in the cyclic decomposition of every element of G is a block for G. Does G necessarily contain a minimal non− FC − subgroup?’ and an example of a group G satisfying these conditions but n...
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ژورنال
عنوان ژورنال: Revista Matemática Complutense
سال: 1997
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1997.v10.n1.17484