Homological and homotopical properties of subgroups of direct products of groups
Valuation theory of group rings and homology of soluble groups
Abstract groups, pro-p groups and Lie algebras of homological type FPm
| Full text | |
| Author(s): |
Kochloukova, Dessislava
Total Authors: 1
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| Document type: | Journal article |
| Source: | MONATSHEFTE FUR MATHEMATIK; v. 186, n. 1, p. 93-109, MAY 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
For a group G and an isomorphism of groups psi : G -> G(psi) we study homological and homotopical properties of the group epsilon(G) = < G, G(psi) vertical bar {[}D, L] = 1 >, where D = {[}G, G(psi)] and L = {[}G, psi]. For k >= 2 we show that epsilon(G) has homotopical type F-k (resp. homological type FPk) if and only if G/G' is finite and G has homotopical type F-k (resp. homological type FPk). In particular epsilon(G) is finitely presented if and only if G/G' is finite and G is finitely presented. (AU) | |
| FAPESP's process: | 16/05678-3 - Abstract groups, pro-p groups and Lie algebras of homological type FPm |
| Grantee: | Dessislava Hristova Kochloukova |
| Support Opportunities: | Regular Research Grants |