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A note on groups with projections

✍ Scribed by Richard Steiner

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 140 KB
Volume: 24
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(82)90017-2

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## Abstract Let __M__ be an arbitrary structure. Then we say that an __M__ ‐formula __φ__ (__x__) __defines a stable set in__ __M__ if every formula __φ__ (__x__) ∧ __α__ (__x__, __y__) is stable. We prove: If __G__ is an __M__ ‐definable group and every definable stable subset of __G__ has __U__ ‐