๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On definability of a periodic EndE+-group by its endomorphism group

โœ Scribed by E. M. Kolenova

Publisher
Springer US
Year
2008
Tongue
English
Weight
115 KB
Volume
154
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

ON DEFINABILITY OF NORMAL SUBGROUPS OF A
ON DEFINABILITY OF NORMAL SUBGROUPS OF A SUPERSTABLE GROUP
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 endomorphisms of hypercentral
A note on endomorphisms of hypercentral groups
โœ Giovanni Cutolo; Chiara Nicotera ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

Let H be a subnormal subgroup of a hypercentral group G. We prove that endomorphisms of G are uniquely determined by their restrictions to H if and only if Hom(G/H G , G) = 0, and draw some consequences from this fact.