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A non-LEA Sofic Group

Abstract:
We describe elementary examples of finitely presented sofic groups which are not residually amenable (and thus not initially subamenable or LEA, for short). We ask if an amalgam of two amenable groups over a finite subgroup is residually amenable and answer this positively for some special cases, including countable locally finite groups, residually nilpotent groups and others.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s12044-016-0315-2

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Institution:
University of Oxford
Oxford college:
Wolfson College
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
University College
Role:
Author
Publisher:
Springer Publisher's website
Journal:
Proceedings - Mathematical Sciences Journal website
Volume:
127
Issue:
2
Pages:
289–293
Publication date:
2016-11-16
Acceptance date:
2015-08-24
DOI:
EISSN:
0973-7685
ISSN:
0253-4142
Keywords:
Pubs id:
pubs:464549
UUID:
uuid:0f8eb98c-66ee-49b1-9adf-1df4535f682d
Local pid:
pubs:464549
Deposit date:
2017-06-02

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