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On the number of generators needed for free profinite products of finite groups

✍ Scribed by Miklós Abért; Pál Hegedűs

Book ID
107529011
Publisher
The Hebrew University Magnes Press
Year
2007
Tongue
English
Weight
161 KB
Volume
162
Category
Article
ISSN
0021-2172

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✍ Andrea Lucchini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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.