Non-Existence of isomorphisms between certain unitals

被引：9

作者：

Grundhoefer, Theo ^{[1
]}

Krinn, Boris ^{[2
]}

Stroppel, Markus ^{[3
]}

机构：

[1] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany

[2] Univ Stuttgart, Inst Geometrie & Topol, D-70550 Stuttgart, Germany

[3] Univ Stuttgart, Fachbereich Math, D-70550 Stuttgart, Germany

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2011年 / 60卷 / 02期

关键词：

Unital; Ree group; Coulter-Matthews plane; Isomorphism; Automorphism group; O'Nan configuration; DESIGNS;

D O I：

10.1007/s10623-010-9428-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that the Ree-Tits unitals are neither classical nor isomorphic to the polar unitals found in the Coulter-Matthews planes. To this end, we determine the full automorphism groups of the finite Ree-Tits unitals.

引用

页码：197 / 201

页数：5

共 17 条

[1]

[Anonymous], 1998, MONOGRAPHS MATH

[2]

[Anonymous], 1998, MATH SURVEYS MONOGRA, DOI DOI 10.1090/SURV/040.3

[3]

Brouwer A. E., 1981, SPRINGER LECT NOTES, V893, P183, DOI [10.1007/BFb0091018, DOI 10.1007/BFB0091018]

[4]

Cameron Peter J., 1999, London Mathematical Society Student Texts, V45

[5] Planar Functions and Planes of Lenz-Barlotti Class II [J].

Coulter R.S. ;

Matthews R.W. .

Designs, Codes and Cryptography, 1997, 10 (2) :167-184

[6]

DEMEDTS T, 2010, NAGOYA MATH IN PRESS

[7]

DeSmet V, 1996, J COMB DES, V4, P71, DOI 10.1002/(SICI)1520-6610(1996)4:1<71::AID-JCD8>3.0.CO

[8]

2-X

[9]

Dixon J.D., 1996, GRADUATE TEXTS MATH, V163, DOI DOI 10.1007/978-1-4612-0731-3

[10] HOMOGENEOUS DESIGNS AND GEOMETRIC LATTICES [J].

KANTOR, WM .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 38 (01) :66-74

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