Let K be a field of characteristic 3 and let G be a non-abelian group. It is shown that the group algebra KG is Lie centrally metabelian if and only if the commutator subgroup GΠ is cyclic of order 3. In view of the results of R. K. Sharma Ε½ . and J. B. Srivastava 1992, J. Algebra 151, 476α486 , thi
A note on nonidentical lie relators
β Scribed by Daniel Groves
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 467 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
It has been an open question for many years whether the associated Lie ring of a relatively free group is necessarily relatively free (see, for example, [15]). We answer this question in the negative by proving that the variety ~4g~z has Lie relators which are not identical Lie relators.
π SIMILAR VOLUMES
Lie triple system T over a field F of characteristic zero. It turns out that it contains nontrivial elements if and only if T is related to a simple Jordan algebra. In particular this provides a new proof of the determination by Laquer of the invariant affine connections in the simply connected com