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Sol Geometry Groups are not Asynchronously Automatic
Author(s) -
Brady Noel
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/83.1.93
Subject(s) - mathematics , mathematics subject classification , lie group , geometry , group (periodic table) , algebra over a field , pure mathematics , chemistry , organic chemistry
Lattices in the 3‐dimensional Lie group Sol are shown to be not asynchronously automatic. The proof consists of a combination of geometry and logical complexity arguments. 2000 Mathematics Subject Classification : 20F10, 20F16.