SYMPLECTIC ALTERNATING ALGEBRAS-Reference-Cited by-同舟云学术

SYMPLECTIC ALTERNATING ALGEBRAS

Published:2008-06 Issue:04 Volume:18 Page:719-757
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

TRAUSTASON GUNNAR¹

Affiliation:

1. Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK

Abstract

This paper begins the development of a theory of what we will call symplectic alternating algebras. They have arisen in the study of 2-Engel groups but seem also to be of interest in their own right. The main part of the paper deals with the challenging classification of some algebras of this kind which arise in the context of 2-Engel groups and give some new information about these groups. The main result is that there are 31 such algebras with dimension 6 over the field of three elements.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004585

Reference5 articles.

1. Alternating trilinear forms and groups of exponent 6

2. Representation Theory

3. Powerful 2-Engel groups II

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