A New Infinite Family of Hemisystems of the Hermitian Surface

2015/12/03 by John Bamberg, Bamberg, John, Melissa Lee +5
Mathematics · #05B25 (primary) #05E30 #51E12 (secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1512.00962

openalex publication_date 2015/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we construct an infinite family of hemisystems of the Hermitian surface H(3,q²). In particular, we show that for every odd prime power q congruent to 3 modulo 4, there exists a hemisystem of H(3,q²) admitting C_(q³+1)/4 : C₃.

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