On some locally 3-transposition graphs.

DSpace/Manakin Repository


Search DR-NTU

Advanced Search Subject Search


My Account

On some locally 3-transposition graphs.

Show full item record

Title: On some locally 3-transposition graphs.
Author: Pasechnik, Dmitrii V.
Copyright year: 1993
Abstract: Let ∑_n^ε be the graph defined on the (+)- points of an n-dimensional GF(3)-space carrying a nondegenerate symmetric bilinear form with discriminant ε, points are adjacent if they are perpendicular. We prove that if ε = 1, n ≥ 6 (resp.ε=-1,n≥7) then ∑_(n+1)^εis the unique connected locally ∑_n^ε graph. One may view this result as a characterization of a class of c^k. C_2-geometries (or 3-transposition groups). We briefly discuss an application of the result to a characterization of Fischer's sporadic groups.
Subject: DRNTU::Science::Mathematics::Geometry
Type: Conference Paper
Conference name: Finite Geometry and Combinatorics (2nd : 1993 : Deinze, Belgian)
School: School of Physical and Mathematical Sciences
Rights: © 1993 Cambridge University Press. This paper was published in Finite geometry and combinatorics and is made available as an electronic reprint (preprint) with permission of Cambridge University Press. The paper can be found at the following DOI: http://dx.doi.org/10.1017/CBO9780511526336.030. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Version: Published version

Files in this item

Files Size Format View
50. On some locally 3-transposition graphs.pdf 967.8Kb PDF View/Open

DOI Query

- Get published version (via Digital Object Identifier)

This item appears in the following Collection(s)

Show full item record


Total views

All Items Views
On some locally 3-transposition graphs. 648

Total downloads

All Bitstreams Views
50. On some locally 3-transposition graphs.pdf 209
50. On some locally 3-transposition graphs.pdf 1

Top country downloads

Country Code Views
United States of America 96
Singapore 62
China 23
France 7
Japan 5

Top city downloads

city Views
Singapore 62
Mountain View 36
Sunnyvale 5
Redwood City 4
Southampton 4