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On the Number of Generators of a Free Product

✍ Scribed by Neumann, B. H.

Book ID
120100393
Publisher
Oxford University Press
Year
1943
Tongue
English
Weight
216 KB
Volume
s1-18
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES

On the Number of Generators of Finite Im
On the Number of Generators of Finite Images of Free Products of Finite Groups
✍ Andrea Lucchini πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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.