Valuation theory of group rings and homology of soluble groups
Groups and noncommutative algebra: interactions and applications
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: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 29, n. 7, p. 1219-1234, NOV 2019. |
Web of Science Citations: | 0 |
Abstract | |
We show that there are uncountably many non-commensurable metabelian pro-p groups of homological type FPk but not of type FPk+1, generated by m element, where m = k + 4 and k >= 1. In particular there are uncountably many non-commensurable finitely presented metabelian pro-p groups that are not of type FP infinity. We show furthermore that there are uncountably many non-isomorphic one related 2-generated pro-p groups. (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 |