Unitals with many involutory translations-Reference-Cited by-同舟云学术

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Unitals with many involutory translations

Published:2022-03-28 Issue:2 Volume:64 Page:287-297
ISSN:0138-4821
Container-title:Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
language:en
Short-container-title:Beitr Algebra Geom

Author:

Grundhöfer Theo,Stroppel Markus J.^ORCID,Van Maldeghem Hendrik

Abstract

AbstractIf every point of a unital is fixed by a non-trivial translation and at least one translation has order two then the unital is classical (i.e., hermitian).

Funder

Universität Stuttgart

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s13366-022-00633-3.pdf

Reference35 articles.

1. Al-Azemi, A., Betten, A., Betten, D. (2014) Unital designs with blocking sets. Discrete Appl. Math. 163(part 2):102–112. https://doi.org/10.1016/j.dam.2013.02.023

2. Aschbacher, M.: A condition for the existence of a strongly embedded subgroup. Proc. Am. Math. Soc. 38, 509–511 (1973). https://doi.org/10.2307/2038941

3. Barwick, S.G., Ebert, G.: Springer Monographs in Mathematics, Unitals in Projective Planes (2008). https://doi.org/10.1007/978-0-387-76366-8

4. Coulter, R.S., Matthews, R.W.: Planar functions and planes of Lenz–Barlotti class II. Des. Codes Cryptogr. 10(2), 167–184 (1997). https://doi.org/10.1023/A:1008292303803

5. de Resmini, M.J., Hamilton, N.: Hyperovals and unitals in Figueroa planes. Eur. J. Combin. 19(2), 215–220 (1998). https://doi.org/10.1006/eujc.1997.0166

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