%0 Journal Article %1 laylasorkatti2016nilpotent %A Sorkatti, Layla %A Traustason, Gunnar %D 2016 %J International Journal of Algebra and Computation %K myown %N 5 %P 1071-1094 %T Nilpotent symplectic alternating algebras II %U https://arxiv.org/abs/2404.11038 %V 26 %X In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension 10 over any field. It is known that symplectic alternating algebras over GF(3) correspond to a special rich class C of 2-Engel 3-groups of exponent 27 and under this correspondence we will see that the nilpotent algebras correspond to a subclass of C that are those groups in C that have an extra group theoretical property that we refer to as being powerfully nilpotent and can be described also in the context of p-groups where p is an arbitrary prime.

@article{laylasorkatti2016nilpotent, abstract = {In this paper and its sequel we continue our study of nilpotent symplectic alternating algebras. In particular we give a full classification of such algebras of dimension 10 over any field. It is known that symplectic alternating algebras over GF(3) correspond to a special rich class C of 2-Engel 3-groups of exponent 27 and under this correspondence we will see that the nilpotent algebras correspond to a subclass of C that are those groups in C that have an extra group theoretical property that we refer to as being powerfully nilpotent and can be described also in the context of p-groups where p is an arbitrary prime.}, added-at = {2024-05-05T21:52:06.000+0200}, author = {Sorkatti, Layla and Traustason, Gunnar}, biburl = {https://www.bibsonomy.org/bibtex/2d38ddec734474a3a9ee17328724c430a/layla.sorkatti}, interhash = {570304cbdb10425cfc51dfb1e77b8d45}, intrahash = {d38ddec734474a3a9ee17328724c430a}, journal = {International Journal of Algebra and Computation}, keywords = {myown}, number = 5, pages = {1071-1094}, timestamp = {2024-07-08T21:35:05.000+0200}, title = {Nilpotent symplectic alternating algebras II}, url = {https://arxiv.org/abs/2404.11038}, volume = 26, year = 2016 }