Embedding theorems for pro-p groups

DOI10.1017/S0305004197002181zbMath0896.20022MaRDI QIDQ4385128

J. D. King

Publication date: 22 July 1998

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

presentationsprofinite groupsupper triangular matrix ringsfinitely generated metabelian groupscommutative pro-\(p\) ringsfinitely presented metabelian pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Limits, profinite groups (20E18) Complete rings, completion (13J10)

Related Items (7)

Homological finiteness conditions for pro-pgroups ⋮ The torsion-free rank of homology in towers of soluble pro-\(p\) groups ⋮ Finitely presented metabelian restricted Lie algebras ⋮ Centre-by-metabelian pro-p groups of type FP_m ⋮ Growth of Homology of Centre-by-metabelian Pro- Groups ⋮ Embedding properties of metabelian pro-p groups ⋮ Uncountably many non-commensurable pro-p groups of homological type FPk but not FPk+1

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