Galois Theory, profinite groups and applications in quadratic forms
| Full text | |
| Author(s): |
Matucci, Francesco
[1]
;
Silva, V, Pedro
Total Authors: 2
|
| Affiliation: | [1] Univ Milano Bicocca, Off 3043, Dipartimento Matemat & Applicaz, Via Cozzi 55, I-20125 Milan - Italy
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Journal of Group Theory; v. 24, n. 5, p. 857-897, SEP 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work, we study automorphisms of synchronous self-similar groups and the existence of extensions to continuous automorphisms over the closure of these groups with respect to the depth metric. We obtain conditions for the continuity of such extensions, but we also construct examples of groups where such extensions do not exist. We study in detail the case of the lamplighter group L-k = Z(k) (sic) Z. (AU) | |
| FAPESP's process: | 16/12196-5 - Algorithm and classification in groups |
| Grantee: | Francesco Matucci |
| Support Opportunities: | Research Grants - Young Investigators Grants |