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

Miklos Abert·Pal Hegedus
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Abstract

We provide lower estimates on the minimal number of generators of the profinite completion of free products of finite groups. In particular, we show that if C_1,...,C_n are finite cyclic groups then there exists a finite group G which is generated by isomorphic copies of C_1,...,C_n and the minimal number of generators of G is n.

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Miklos Abert, Pal Hegedus. 2007-03-05. On the number of generators needed for free profinite products of finite groups. https://arxiv.org/abs/math/0703105

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