16-dimensional compact projective planes with a collineation group of dimension ≥ 35

被引：2

作者：

Salzmann, Helmut ^{[1
]}

机构：

[1] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany

来源：

ARCHIV DER MATHEMATIK | 2008年 / 90卷 / 03期

关键词：

compact planes; Moufang plane;

D O I：

10.1007/s00013-007-2466-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A compact projective plane is isomorphic to the classical Moufang plane if it admits an automorphism group of dimension at least 38 which fixes a non-incident point-line pair.

引用

页码：284 / 288

页数：5

共 50 条

[1] 16-dimensional compact projective planes with a collineation group of dimension ≥ 35
Helmut Salzmann
Archiv der Mathematik, 2008, 90 : 284 - 288
[2] COMPACT 16-DIMENSIONAL PROJECTIVE-PLANES WITH LARGE COLLINEATION GROUPS
SALZMANN, H
MATHEMATISCHE ANNALEN, 1982, 261 (04) : 447 - 454
[3] Compact 16-dimensional projective planes
Salzmann H.
Results in Mathematics, 1999, 35 (1-2) : 192 - 196
[4] 16-dimensional smooth projective planes with large collineation groups
Bodi, R
GEOMETRIAE DEDICATA, 1998, 72 (03) : 283 - 298
[5] COMPACT 16-DIMENSIONAL PROJECTIVE-PLANES WITH LARGE COLLINEATION GROUPS .3.
SALZMANN, H
MATHEMATISCHE ZEITSCHRIFT, 1984, 185 (02) : 185 - 190
[6] COMPACT 16-DIMENSIONAL PROJECTIVE-PLANES WITH LARGE COLLINEATION GROUPS .4.
SALZMANN, H
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (04): : 908 - 919
[7] 16-Dimensional Smooth Projective Planes with Large Collineation Groups
Richard Bödi
Geometriae Dedicata, 1998, 72 : 283 - 297
[8] COMPACT 16-DIMENSIONAL PROJECTIVE-PLANES WITH LARGE COLLINEATION GROUPS .2.
SALZMANN, H
MONATSHEFTE FUR MATHEMATIK, 1983, 95 (04): : 311 - 319
[9] 16-DIMENSIONAL LOCALLY COMPACT PROJECTIVE-PLANES WHOSE COLLINEATION GROUP CONTAINS G2
HAHL, H
GEOMETRIAE DEDICATA, 1990, 36 (2-3) : 181 - 197
[10] 16-DIMENSIONAL LOCALLY COMPACT TRANSLATIONAL PLANES WITH SPIN (7) AS COLLINEATION-GROUP
HAHL, H
ARCHIV DER MATHEMATIK, 1987, 48 (03) : 267 - 276

← 1 2 3 4 5 →