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The construction of infinite finitely generated periodic groups using wreath products

โœ Scribed by Martyn R Dixon; Thomas A Fournelle


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
672 KB
Volume
115
Category
Article
ISSN
0021-8693

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On the Number of Generators of Finite Im
โœ Andrea Lucchini ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

We prove that the analog of the Grushko-Neumann theorem does not hold for profinite free products of profinite groups. To do that we bound the number of generators of a finite group generated by a family of subgroups of pairwise coprime orders.