Embedding properties of metabelian pro-p groups

DOI10.1515/JGT.2006.029zbMath1101.20018OpenAlexW1991166758MaRDI QIDQ5480605

Dessislava H. Kochloukova, Aline G. S. Pinto

Publication date: 3 August 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.029

zbMATH Keywords

finitely generated groupsfinitely presented groupspro-\(p\) groupsmetabelian groupsgroups of type \(\text{FP}_m\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) Limits, profinite groups (20E18)

Related Items

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, Uncountably many non-commensurable pro-p groups of homological type FPk but not FPk+1

Cites Work

• Tensor powers of modules over finitely generated abelian groups
• Homological invariants for pro-\(p\) groups and some finitely presented pro-\(\mathcal C\) groups.
• Pseudocompact algebras, profinite groups and class formations
• Metabelian Groups of Type (FP )_∞ are Virtually of Type (FP )
• Homological finiteness conditions for pro-pgroups
• Embedding theorems for pro-p groups
• A Geometric Invariant for Metabelian Pro-p Groups
• Metabelian pro-p groups of type FPm