منابع مشابه
On W -S-permutable Subgroups of Finite Groups∗
A subgroup H of a finite group G is said to be W -S-permutable in G if there is a subgroup K of G such that G = HK and H ∩K is a nearly S-permutable subgroup of G. In this article, we analyse the structure of a finite group G by using the properties of W -S-permutable subgroups and obtain some new characterizations of finite p-nilpotent groups and finite supersolvable groups. Some known results...
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This paper and its sequel [17] deal with a range of questions about the subgroup structure of infinite symmetric groups. Our concern is with such questions as the following. How can an infinite symmetric group be expressed as the union of a chain of proper subgroups? What are the subgroups that supplement the normal subgroups of an infinite symmetric group? What are the maximal proper subgroups...
متن کاملinfinite groups with many generalized normal subgroups
a subgroup $x$ of a group $g$ is almost normal if the index $|g:n_g(x)|$ is finite, while $x$ is nearly normal if it has finite index in the normal closure $x^g$. this paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.
متن کاملInfinite Subgroups of Morava Stabilizer Groups
In this note we discuss certain infinite subgroups of the Morava stabilizer groups and outline some applications in homotopy theory. 1. Description of the main result and its applications First we discuss a theorem about the structure of the group of proper units of the maximal order in a certain class of cyclic division algebras over a local field. This theorem states that such a group contain...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1982
ISSN: 0035-7596
DOI: 10.1216/rmj-1982-12-2-333