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TOPOLOGICAL DYNAMICS OF STABLE GROUPS

Published online by Cambridge University Press:  12 December 2014

LUDOMIR NEWELSKI
LUDOMIR NEWELSKI*
Affiliation:
INSTYTUT MATEMATYCZNY UNIWERSYTET WROCŁAWSKI PL. GRUNWALDZKI 2/4 50-384 WROCŁAW, POLANDE-mail: newelski@math.uni.wroc.pl
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Abstract

Assume G is a group definable in a model M of a stable theory T. We prove that the semigroup SG (M) of complete G-types over M is an inverse limit of some semigroups type-definable in Meq. We prove that the maximal subgroups of SG (M) are inverse limits of some definable quotients of subgroups of G. We consider the powers of types in the semigroup SG (M) and prove that in a way every type in SG (M) is profinitely many steps away from a type in a subgroup of SG (M).

Keywords

Stable groupstopological dynamicsEllis semigroup

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Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 4 , December 2014 , pp. 1199 - 1223
Copyright
Copyright © The Association for Symbolic Logic 2014 

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