On the free profinite products of profinite groups with commuting subgroups
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زبان مدرک
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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.
کلید واژگان
profinite groupsfree constructions of (abstract) groups
free constructions of profinite groups
profinite completions
14G32 Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory)
20E06 Free products, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20E26 Residual properties and generalizations; residually finite groups
20F20 Limits, profinite groups
شماره نشریه
2تاریخ نشر
2016-06-011395-03-12
ناشر
University of Isfahanسازمان پدید آورنده
Ecole Normale Suprieure The University of MarouaThe University of Ngaoundere
شاپا
2251-76502251-7669
