A new infinite family of hemisystems of the Hermitian surface

John Bamberg; Melissa Lee; Koji Momihara; Qing Xiang

doi:10.1007/s00493-016-3525-4

A new infinite family of hemisystems of the Hermitian surface

John Bamberg, Melissa Lee, Koji Momihara, Qing Xiang

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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 (Formula presented.).

Original language	English
Pages (from-to)	43-66
Number of pages	24
Journal	Combinatorica
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s00493-016-3525-4
Publication status	Published - Feb 2018

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title = "A new infinite family of hemisystems of the Hermitian surface",

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 (Formula presented.).",

author = "John Bamberg and Melissa Lee and Koji Momihara and Qing Xiang",

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AU - Momihara, Koji

AU - Xiang, Qing

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N2 - 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 (Formula presented.).

AB - 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 (Formula presented.).

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UR - https://arxiv.org/abs/1512.00962v2

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SP - 43

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JO - Combinatorica

JF - Combinatorica

IS - 1

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A new infinite family of hemisystems of the Hermitian surface

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