An analogue of the Nielsen-Schreier formula for pro-\(p\)-groups.

DOI10.1007/S00013-006-1878-4zbMath1119.20035OpenAlexW1988503732WikidataQ56481912 ScholiaQ56481912MaRDI QIDQ882538

Masakazu Yamagishi

Publication date: 24 May 2007

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-006-1878-4

zbMATH Keywords

Demushkin groupsfinitely generated pro-\(p\)-groupsopen subgroupsfree pro-\(p\) groupsNielsen-Schreier formulanumbers of topological generatorspro-\(p\)-extensions of number fields

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Galois theory (11R32) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Limits, profinite groups (20E18) Galois cohomology (11R34)

Related Items (1)

Pro-\(p\) groups with constant generating number on open subgroups.

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