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Two generator subgroups of free products with commuting subgroups

✍ Scribed by Benjamin Fine; Gerhard Rosenberger; Richard Weidmann

Book ID: 108357940
Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 142 KB
Volume: 172
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(01)00152-9

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free subgroups 697 if and only if j ∈ I G j ≥ G i is infinite and let λ be the cardinality of i∈I 0 G i , which is equal to that of i∈I 0 G i . Corollary 1.2. Let I be an infinite index set and G i 's be copies of a group G. Then the subgroups of Bd and Sc of i∈I G i are isomorphic to \* i∈I G i \*