Filling the Nest Gaps

Authors: Baker R.D.¹; Ebert G.L.²

Source: Finite Fields and Their Applications, Volume 2, Number 1, January 1996 , pp. 42-61(20)

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Abstract:

This paper presents a robust construction technique for two-dimensional translation planes of odd order using the notion of nesting previously developed by the authors. More precisely, nonisomorphic planes of order q 2 are obtained by constructing replaceable tau-nests for tau roughly between (¾ ) q - √ q /2 and (¾ ) q + √ q /2. In all cases the translation complement of any such plane contains a direct product of two cyclic homology groups of order ( q + 1)/2 with affine axes.

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, West Virginia State College Institute, West Virginia, 25112 2: Department of Mathematical Sciences, University of Delaware, Newark, Delaware, 19716

Publication date: 1996-01-01