Article
Licensed
Unlicensed
Requires Authentication
Embedding homological properties of metabelian discrete groups: the general case
-
Dessislava H Kochloukova
and
Flávia S. M. da Silva
Published/Copyright:
July 26, 2007
Abstract
We extend a result in [J. R. J. Groves and D. Kochloukova. Embedding properties of metabelian Lie algebras and metabelian discrete groups. J. London Math. Soc. (2) 73 (2006), 475–492.] which showed that for each m every finitely generated metabelian group G embeds in a quotient of a metabelian group of homological type FPm and furthermore that G embeds in a metabelian group of type FP4. More precisely, we show that for a fixed m every finitely generated metabelian group G embeds in a metabelian group of type FPm.
Received: 2006-04-28
Revised: 2006-10-18
Published Online: 2007-07-26
Published in Print: 2007-07-20
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On Jordan's theorem for complex linear groups
- The group GL(6,ℤ) is (2, 3)-generated
- On powers in powerful p-groups
- The exponents of central factor and commutator groups
- Automorphism groups of finite p-groups of coclass 2
- Capability of nilpotent products of cyclic groups II
- Non-prosoluble profinite groups with a rational probabilistic zeta function
-
Constructing sharply transitive R-modules of rank ⩽
- On hypercentral units in integral group rings
- Embedding homological properties of metabelian discrete groups: the general case
- Local connectivity of right-angled Coxeter group boundaries
- An algorithm that decides translation equivalence in a free group of rank two
Articles in the same Issue
- On Jordan's theorem for complex linear groups
- The group GL(6,ℤ) is (2, 3)-generated
- On powers in powerful p-groups
- The exponents of central factor and commutator groups
- Automorphism groups of finite p-groups of coclass 2
- Capability of nilpotent products of cyclic groups II
- Non-prosoluble profinite groups with a rational probabilistic zeta function
-
Constructing sharply transitive R-modules of rank ⩽
- On hypercentral units in integral group rings
- Embedding homological properties of metabelian discrete groups: the general case
- Local connectivity of right-angled Coxeter group boundaries
- An algorithm that decides translation equivalence in a free group of rank two
