In this paper, an explicit construction of a countable parafree Lie algebra with nonzero second homology is given. It is also shown that the cohomological dimension of the pronilpotent completion of a free noncyclic finitely generated Lie algebra over Z is greater than two. Moreover, it is proven that there exists a countable parafree group with nontrivial H2.
| Translated title of the contribution | Гомологические свойства парасвободных алгебр |
|---|---|
| Original language | English |
| Pages (from-to) | 1092-1106 |
| Number of pages | 15 |
| Journal | Journal of Algebra |
| Volume | 560 |
| Early online date | 8 Jun 2020 |
| DOIs | |
| State | Published - 15 Oct 2020 |
ID: 62108012