Results 11 to 20 of about 389 (185)

Periodic linear groups factorized by mutually permutable subgroups

, 2023
summary:The aim is to investigate the behaviour of (homomorphic images of) periodic linear groups which are factorized by mutually permutable subgroups.
Ferrara, Maria, Trombetti, Marco
core   +3 more sources

Cyclic permutable subgroups of finite groups [PDF]

, 2001
The authors describe the structure of the normal closure of a cyclic permutable subgroup of odd order in a finite ...
Cossey, John, Stonehewer, Stewart E.
core   +1 more source

Groups with restricted non-permutable subgroups

, 2021
A subgroup H of a group G is said to be permutable if HK = KH for every subgroup K of G and the group G is called metaquasihamiltonian if all subgroups of G are either permutable or abelian.
De Mari F.
core   +1 more source

The embedding of a cyclic permutable subgroup in a finite group. II [PDF]

, 2004
In two previous papers we established the structure of the normal closure of a cyclic permutable subgroup $A$ of a finite group, first when $A$ has odd order and second when $A$ has even order, but with an extra hypothesis that was unnecessary in the odd
Cossey, Peter (John), Cossey, John, Stonehewer, Stewart Edward, Stonehewer, Stewart E.   +3 more
core   +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 Quasi S-Propermutable Subgroups of Finite Groups

Journal of Mathematics, 2020
A subgroup H of a finite group G is said to be quasi S-propermutable in G if K⊲¯G such that HK is S-permutable in G and H ∩ K≤HqsG, where HqsG is the subgroup formed by all those subgroups of H which are S-propermutable in G.
Hong Yang, Abid Mahboob, Asim Zafer, Iftikhar Ali, Zafar Ullah, Absar Ul Haq   +5 more
doaj   +1 more source

Permutable subnormal subgroups of finite groups [PDF]

, 2016
The aim of this paper is to prove certain characterization theorems for groups in which permutability is a transitive relation, the so called PT -groups.
Cossey, Peter (John), Esteban-Romero, R, Ragland, M F, Schmidt, Jack, Ballester-Bolinches, Adolfo, Beidleman, J C   +5 more
core   +2 more sources

On the permutability of Sylow subgroups with derived subgroups of B-subgroups

Журнал Белорусского государственного университета: Математика, информатика, 2019
A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group  G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
doaj   +1 more source

On non-periodic groups whose finitely generated subgroups are either permutable or pronormal [PDF]

, 2013
summary:The current article considers some infinite groups whose finitely generated subgroups are either permutable or pronormal. A group $G$ is called a generalized radical, if $G$ has an ascending series whose factors are locally nilpotent or locally ...
Kurdachenko, L. A., Ermolkevich, T. I., Subbotin, I. Ya.   +2 more
core   +1 more source

Notes on influence of certain permutable subgroups on finite smooth groups [PDF]

International Journal of Group Theory
A maximal chain of a finite group $G$ is called smooth if any two intervals have the same length are isomorphic. A group $G$ is called totally smooth if all maximal chains of $G$ are smooth, and called generalized smooth if all chains from each subgroup ...
Mohamed Abd-Ellatif
doaj   +1 more source