𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Residually Nilpotent Groups with All Subgroups Subnormal

✍ Scribed by Howard Smith


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
72 KB
Volume
244
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


OnF-Subnormal Subgroups andF-Residuals o
✍ A. Ballester-Bolinches; M.C. Pedraza-Aguilera; M.D. PΓ©rez-Ramos πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 141 KB

formation of all nilpotent groups, the F F-subnormal subgroups of G are exactly the subnormal subgroups of G. Let F F be a subgroup-closed saturated formation containing N N. It is rather easy to see that if F F is closed under the product of normal subgroups, then G F F s A F F B F F for every pai

Finite Soluble Groups with Permutable Su
✍ Manuel J Alejandre; A Ballester-Bolinches; M.C Pedraza-Aguilera πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 139 KB

A finite group G is said to be a PST -group if every subnormal subgroup of G permutes with every Sylow subgroup of G. We shall discuss the normal structure of soluble PST -groups, mainly defining a local version of this concept. A deep study of the local structure turns out to be crucial for obtaini

Locally Soluble-by-Finite Groups with th
✍ Martyn R. Dixon; Martin J. Evans; Howard Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

The authors investigate the structure of locally soluble-by-finite groups that satisfy the weak minimal condition on non-nilpotent subgroups. They show, among other things, that every such group is minimax or locally nilpotent.

Locally Finite Groups with All Subgroups
✍ E.I Khukhro; H Smith πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 194 KB

A group is said to have finite special rank F s if all of its finitely generated subgroups can be generated by s elements. Let G be a locally finite group and suppose that HrH has finite rank for all subgroups H of G, where H denotes the normal core of H in G. We prove that then G has an abelian no