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Sofic groups: graph
products and graphs of groups
Laura Ciobanu, Derek F. Holt and Sarah Rees |
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Vol. 271 (2014), No. 1, 53–64
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Abstract |
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We prove that graph products of sofic groups are sofic, as are graphs of groups for which vertex groups are sofic and edge groups are amenable. |
Keywords
sofic, graph products, free and direct products, groups of
graphs
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Mathematical Subject Classification 2010
Primary: 20F65, 37B05
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Milestones
Received: 12 December 2012
Revised: 14 November 2013
Accepted: 10 January 2014
Published: 10 September 2014
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Authors |
| Laura Ciobanu | |
| Mathematics Department University of Neuchâtel Rue Emile-Argand 11 CH-2000 Neuchâtel Switzerland |
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| Derek F. Holt | |
| Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom |
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| Sarah Rees | |
| School of Mathematics and
Statistics University of Newcastle Newcastle NE1 7RU United Kingdom |
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