On the Valuations of the Near Polygon Hn

We characterize the valuations of the near polygon H n that are induced by classical valuations of the dual polar space D W ( 2 n - 1 , 2 ) into which it is isometrically embeddable. An application to near 2 n -gons that contain H n as a full subgeometry is given.

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Bibliographic Details
Published inAnnals of combinatorics Vol. 22; no. 2; pp. 255 - 269
Main Author De Bruyn, Bart
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2018
Subjects
Combinatorics
Mathematics
Mathematics and Statistics
51A50
near polygon
valuation
51A45
51E12
full subgeometry
05B25
Online AccessGet full text
ISSN0218-0006
0219-3094
DOI10.1007/s00026-018-0383-3

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Summary:We characterize the valuations of the near polygon H n that are induced by classical valuations of the dual polar space D W ( 2 n - 1 , 2 ) into which it is isometrically embeddable. An application to near 2 n -gons that contain H n as a full subgeometry is given.
ISSN:0218-0006
0219-3094
DOI:10.1007/s00026-018-0383-3