Abstract
We study free centre-by-metabelian Lie algebras over a field of characteristic 2. By using homological methods, we determine the dimensions of the fine homogeneous components of the second-derived algebra. In conjunction with earlier results by Mansuroǧlu and the second author, this leads to a complete description of the additive structure of the second-derived ideal in the free centre-by-metabelian Lie ring.
| Original language | English |
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| Pages (from-to) | 491-502 |
| Number of pages | 12 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 46 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jun 2014 |