On the intersection of two subgeometries of PG(n, q)

The study of the intersection of two Baer subgeometries of PG ( n , q ), q a square, started in Bose et al. (Utilitas Math 17 , 65–77, 1980); Bruen (Arch Math 39 (3), 285–288, (1982). Later, in Svéd (Baer subspaces in the n-dimensional projective space. Springer-Verlag) and Jagos et al. (Acta Sci Ma...

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Bibliographic Details
Published inDesigns, codes, and cryptography Vol. 46; no. 3; pp. 261 - 267
Main Authors Donati, Giorgio, Durante, Nicola
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2008
Subjects
Circuits
Coding and Information Theory
Computer Science
Cryptology
Data Structures and Information Theory
Discrete Mathematics in Computer Science
Information and Communication
Collineations
51E20
Subgeometrics
05B25
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ISSN0925-1022
1573-7586
DOI10.1007/s10623-007-9143-9

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Summary:The study of the intersection of two Baer subgeometries of PG ( n , q ), q a square, started in Bose et al. (Utilitas Math 17 , 65–77, 1980); Bruen (Arch Math 39 (3), 285–288, (1982). Later, in Svéd (Baer subspaces in the n-dimensional projective space. Springer-Verlag) and Jagos et al. (Acta Sci Math 69 (1–2), 419–429, 2003), the structure of the intersection of two Baer subgeometries of PG ( n , q ) has been completely determined. In this paper, generalizing the previous results, we determine all possible intersection configurations of any two subgeometries of PG ( n , q ).
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-007-9143-9