๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Locally solvable groups of finite rank. II

โœ Scribed by Yu. I. Merzlyakov


Publisher
Springer US
Year
1969
Tongue
English
Weight
213 KB
Volume
8
Category
Article
ISSN
0002-5232

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Solvable groups of finite rank
โœ D. I. Zaitsev ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Springer US ๐ŸŒ English โš– 597 KB
Locally (Soluble-by-Finite) Groups of Fi
โœ Martyn R. Dixon; Martin J. Evans; Howard Smith ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

But P l B s rad P and so L ( Prrad P. It remains to show that P F L . 1 2 If Q is a maximal normal subgroup of P then, since P is perfect, PrQ is isomorphic to a simple direct factor of L and hence has order greater 1 than s. With the notation as in Lemma 2.2, we have PE rE ( PrP l E , 2 2 2 which t

Locally Finite Groups with All Subgroups
โœ E.I Khukhro; H Smith ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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