Classification of 8-dimensional rank two commutative semifields-Reference-Cited by-同舟云学术

Classification of 8-dimensional rank two commutative semifields

Published:2018-03-26 Issue:1 Volume:19 Page:57-64
ISSN:1615-7168
Container-title:Advances in Geometry
language:en
Short-container-title:

Author:

Lavrauw Michel¹,Rodgers Morgan²

Affiliation:

1. Università di Padova , Padova , Italy

2. Università di Padova , Sabanci University , Istanbul , Turkey

Abstract

Abstract We classify the rank two commutative semifields which are 8-dimensional over their center 𝔽 q . This is done using computational methods utilizing the connection to linear sets in PG(2, q 4). We then apply our methods to complete the classification of rank two commutative semifields which are 10-dimensional over 𝔽3. The implications of these results are detailed for other geometric structures such as semifield flocks, ovoids of parabolic quadrics, and eggs.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom-2017-0064/pdf

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