On some locally 3-transposition graphs.

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On some locally 3-transposition graphs.

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dc.contributor.author Pasechnik, Dmitrii V.
dc.date.accessioned 2011-08-11T02:56:56Z
dc.date.available 2011-08-11T02:56:56Z
dc.date.copyright 1993
dc.date.issued 2011-08-11
dc.identifier.citation Pasechnik, D. V. (1993). On some locally 3-transposition graphs. The Second International Conference at Deinze, pp. 319-326.
dc.identifier.uri http://hdl.handle.net/10220/6955
dc.description.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.
dc.language.iso en
dc.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.
dc.subject DRNTU::Science::Mathematics::Geometry.
dc.title On some locally 3-transposition graphs.
dc.type Conference Paper
dc.contributor.conference Finite Geometry and Combinatorics (2nd : 1993 : Deinze, Belgian)
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1017/CBO9780511526336.030
dc.description.version Published version

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