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An automorphism group of an ω‐stable structure that is not locally (OB)
Author(s) -
Zielinski Joseph
Publication year - 2016
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201500074
Subject(s) - mathematics , automorphism , categorical variable , automorphism group , outer automorphism group , prime (order theory) , inner automorphism , group (periodic table) , pure mathematics , model theory , combinatorics , discrete mathematics , statistics , physics , quantum mechanics
We observe that there is an example of an automorphism group of a model of an ω‐stable theory—in fact, the prime model of an uncountably categorical theory—that is not locally (OB), answering a question of Rosendal.