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On the residual finiteness of generalized free products of finite rank groups

✍ Scribed by D. N. Azarov

Book ID
120776297
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
169 KB
Volume
54
Category
Article
ISSN
0037-4466

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We find a necessary and sufficient condition for an amalgamated free product of arbitrarily many isomorphic residually \(p\)-finite groups to be residually \(p\)-finite. We also prove that this condition is sufficient for a free product of any finite number of residually \(p\)-finite groups, amalgam

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Using a probabilistic approach we establish a new residual property of free products of finite groups.