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Exactness properties of profinite completion functors. (English) Zbl 0324.20041


MSC:

20E18 Limits, profinite groups
20F34 Fundamental groups and their automorphisms (group-theoretic aspects)
20J05 Homological methods in group theory
14H30 Coverings of curves, fundamental group
14F35 Homotopy theory and fundamental groups in algebraic geometry
20E22 Extensions, wreath products, and other compositions of groups
57M05 Fundamental group, presentations, free differential calculus
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