Results 21 to 30 of about 682,067 (218)

On numbers which are orders of nilpotent groups with bounded class [PDF]

International Journal of Group Theory
Let $n$ be a positive integer. In this short note, we characterize those numbers $m$ for which any group of order $m$ is an $n$-Engel group and those numbers $m$ for which any group of order $m$ has all its subgroups subnormal of defect at most $n$.
Maria Ferrara
doaj   +1 more source

On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

Mathematics, 2022
Let G be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. The following are interesting topics in the study of the structure of G: obtaining the conditions in addition to guarantee that G is supersolvable and giving ...
Yangming Li, Yubo Lv, Xiangyang Xu
doaj   +1 more source

Joins of Almost Subnormal Subgroups [PDF]

Proceedings of the Edinburgh Mathematical Society, 1979
Following (1) we say that a subgroup H of a group G is almost subnormal in G if H is of finite index in some subnormal subgroup of G, or, equivalently, if |Hn : H| is finite for some n, where Hn is the n-th term of the normal closure series of H in G. The aim of this article is to prove, in answer to a question of R. Baer, the following analogue of the
openaire   +1 more source

Finite Groups with $$\sigma $$-Subnormal Schmidt Subgroups

Bulletin of the Malaysian Mathematical Sciences Society, 2022
If $$\sigma = \{ {\sigma }_{i} : i \in I \}$$ σ = { σ i : i
A. Ballester-Bolinches, S. Kamornikov, X. Yi   +2 more
semanticscholar   +1 more source

Finite groups in which normality, permutability or Sylow permutability is transitive

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if NG(H) ∩ HG = H. We obtain a new characterization of these
Malinowska Izabela Agata
doaj   +1 more source

On $ \sigma $-subnormal subgroups and products of finite groups

Electronic Research Archive, 2022
Suppose that $ \sigma = \{ {\sigma}_{i} : i \in I \} $ is a partition of the set $ \mathbb{P} $ of all primes. A subgroup $ A $ of a finite group $ G $ is said to be $ \sigma $-subnormal in $ G $ if $ A $ can be joined to $ G $ by a chain of subgroups ...
A. A. Heliel, A. Ballester-Bolinches, M. M. Al-Shomrani, R. A. Al-Obidy   +3 more
semanticscholar   +1 more source

Finite groups whose maximal subgroups of even order are MSN-groups

Open Mathematics, 2022
A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
doaj   +1 more source

FC-groups with Few Subnormal Non-normal Subgroups

Mediterranean Journal of Mathematics, 2022
A group G is said to be an FC-group if every conjugacy class of G has finite order and is said to be a T-group if every subnormal subgroup is normal in G.
M. Brescia
semanticscholar   +1 more source

On the proof of some theorem on locally nilpotent subgroups in division rings

, 2019
In Hai-Thin (2009), there is a theorem, stating that every locally nilpotent subnormal subgroup in a division ring $D$ is central (see Hai-Thin (2009, Th. 2.2)). Unfortunately, there is some mistake in the proof of this theorem.
Bui Xuan Hai, Nguyen Van Thin, Scott W. R.   +2 more
core   +1 more source

A remark on operating groups

International Journal of Mathematics and Mathematical Sciences, 1997
Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
doaj   +1 more source