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arXiv:1208.0196 [math.LO]AbstractReferencesReviewsResources

Some model theory of SL(2,R)

Jakub Gismatullin, Davide Penazzi, Anand Pillay

Published 2012-08-01Version 1

We study the action of G = SL(2,R) on its type space S_G(R) where R denotes the field of real numbers. We identify a minimal closed G-flow I, and an idempotent r of I (with the respect to the Ellis semigroup structure * on I). We show that the group (r*I,*) has 2 elements, yielding a negative answer to a question of Newelski.

Comments: 10 pages
Categories: math.LO, math.DS, math.GN, math.GR
Subjects: 03C45, 22E46, 37B05
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