A virtually free pro-\(p\) need not be the fundamental group of a profinite graph of finite groups.

DOI10.1007/s00013-009-0063-yzbMath1193.20032OpenAlexW2065790400MaRDI QIDQ849203

Pavel A. Zalesskii, Wolfgang N. Herfort

Publication date: 25 February 2010

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

Full work available at URL: https://doi.org/10.1007/s00013-009-0063-y

zbMATH Keywords

pro-\(p\) groupsvirtual freenesspro-\(p\) trees

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (4)

Pro-\(p\) groups acting on trees with finitely many maximal vertex stabilizers up to conjugation ⋮ Virtually free pro-\(p\) groups. ⋮ Subgroup properties of pro-\(p\) extensions of centralizers. ⋮ Splitting theorems for pro-\(p\) groups acting on pro-\(p\) trees

Cites Work

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• Profinite groups and Boolean graphs
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• SUBGROUPS OF PROFINITE GROUPS ACTING ON TREES
• Finite and infinite cyclic extensions of free groups
• SUBGROUPS AND HOMOLOGY OF FREE PRODUCTS OF PROFINITE GROUPS
• An Embedding Theorem for Groups with a Free Subgroup of Finite Index
• On virtually projective groups
• Pro-p groups that act on profinite trees

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