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On the free profinite products of profinite groups with commuting subgroups | ||
| International Journal of Group Theory | ||
| مقاله 16، دوره 5، شماره 2، شهریور 2016، صفحه 25-40 اصل مقاله (244.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2016.6803 | ||
| نویسندگان | ||
| Gilbert Mantika1؛ Daniel Tieudjo* 2 | ||
| 1Ecole Normale Suprieure The University of Maroua | ||
| 2The University of Ngaoundere | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| profinite groups؛ free constructions of (abstract) groups؛ free constructions of profinite groups؛ profinite completions | ||
| مراجع | ||
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