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Subgroups of Rank One Groups

✍ Scribed by Franz Georg Timmesfeld


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
81 KB
Volume
234
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Groups of Finite Morley Rank with Strong
✍ Tuna Altinel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 295 KB

In this paper we prove the following theorem: THEOREM 1.5. Let G be an infinite, simple, K \*-group of finite Morley rank with a strongly embedded subgroup M. Assume that the Sylow 2-subgroups of G ha¨e infinitely many commuting in¨olutions. Then M is sol¨able. Ž . If, in addition, G is tame, then

Finite-Rank Free Metabelian Subgroups of
✍ Ada Peluso πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 148 KB

A sufficient condition is obtained for the residual torsion-free nilpotence of certain finitely presented metabelian groups that arise from a matrix representa-Ž . tion developed by Magnus 1939, Ann. of Math. 40, 764᎐768 for metabelian Ž groups. Using this condition and a construction due to Baumsla

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

Groups of Finite Morley Rank and Even Ty
✍ Tuna AltΔ±nel; Alexandre Borovik; Gregory Cherlin πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 279 KB

Conjecture 1 (Even Type Conjecture). Let G be a simple group of finite Morley rank of even type, with no infinite definable simple section of degenerate type. Then G is algebraic.