Abstract groups, pro-p groups and Lie algebras of homological type FPm
Ergodic properties of partially hyperbolic dynamical systems and weakly rigid systems
Homological and combinatorial methods in the theory of Lie Algebras and groups
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Oxford, Math Inst, Andrew Wiles Bldg, Roq Oxford OX2 6GG - England
[2] State Univ Campinas UNICAMP, Dept Math, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY; v. 51, n. 1, p. 168-180, FEB 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
We consider the group X(G) obtained from G{*}G by forcing each element g in the first free factor to commute with the copy of g in the second free factor. Deceptively complicated finitely presented groups arise from this construction: X(G) is finitely presented if and only if G is finitely presented, but if F is a non-abelian free group of finite rank then X(F) has a subgroup of finite index whose third homology is not finitely generated. (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 |