Prefactorized subgroups in pairwise mutually permutable products
نویسندگان
چکیده
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...
متن کاملgroups with all subgroups permutable or soluble
in this paper, we consider locally graded groups in which every non-permutable subgroup is soluble of bounded derived length.
متن کاملMaximal subgroups of direct products
A group G is simple if and only if the diagonal subgroup of G ×G is a maximal subgroup. This striking property is very easy to prove and raises the question of determining all the maximal subgroups of G , where G denotes the direct product of n copies of G . The first purpose of this note is to answer completely this question. We show in particular that if G is perfect, then any maximal subgrou...
متن کاملOn Ss-quasinormal and Weakly S-permutable Subgroups of Finite Groups
A subgroup H of a group G is called ss-quasinormal in G if there is a subgroup B of G such that G = HB and H permutes with every Sylow subgroup of B; H is called weakly s-permutable in G if there is a subnormal subgroup T of G such that G = HT and H ∩ T ≤ HsG, where HsG is the subgroup of H generated by all those subgroups of H which are s-permutable in G. We fix in every non-cyclic Sylow subgr...
متن کاملFixed Subgroups of Endomorphisms of Free Products
Let G = ∗ i=1 Gi and let φ be a symmetric endomorphism of G. If φ is a monomorphism or if G is a finitely generated residually finite group, then the fixed subgroup Fix(φ) = {g ∈ G : φ(g) = g} of φ has Kurosh rank at most n.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata
سال: 2012
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-012-0257-y