On the free profinite products of profinite groups with commuting subgroups

Document Type : Research Paper

Authors

1 Ecole Normale Suprieure The University of Maroua

2 The University of Ngaoundere

Abstract

In this paper we introduce the construction of free profinite products of profinite groups with commuting subgroups‎. ‎We study a particular case‎: ‎the proper free profinite products of profinite groups with commuting subgroups‎. ‎We prove some conditions for a free profinite product of profinite groups with commuting subgroups to be proper‎. ‎We derive some consequences‎. ‎We also compute profinite completions of free products of (abstract) groups with commuting subgroups‎.

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References

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History

  • Receive Date: 01 August 2014
  • Revise Date: 31 October 2014
  • Accept Date: 31 October 2014
  • Published Online: 01 June 2016

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