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A Note on Superstable Groups

โœ Scribed by Jerry Gagelman


Book ID
124978777
Publisher
Association for Symbolic Logic
Year
2005
Tongue
English
Weight
366 KB
Volume
70
Category
Article
ISSN
0022-4812

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๐Ÿ“œ SIMILAR VOLUMES


On Superstable Groups
โœ Baudisch, A. ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 281 KB
On superstable CSA-groups
โœ Abderezak Ould Houcine ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB
On superstable groups with residual prop
โœ Abderezak Ould Houcine ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 156 KB

Given a pseudovariety C, it is proved that a residually-C superstable group G has a finite series In particular, a residually finite superstable group is solvable-by-finite, and if it is ฯ‰-stable, then it is nilpotent-by-finite. Given a finitely generated group G, we show that if G is ฯ‰-stable and

ON DEFINABILITY OF NORMAL SUBGROUPS OF A
โœ Akito Tsuboi ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 319 KB

## Abstract In this note we treat maximal and minimal normal subgroups of a superstable group and prove that these groups are definable under certain conditions. Main tool is a superstable version of Zil'ber's indecomposability theorem. MSC: 03C60.

A note on iteration groups
โœ John A. Baker ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Springer ๐ŸŒ English โš– 120 KB