Extending polar spaces of rank at least 3

Dmitrii V. Pasechnik

doi:10.1016/0097-3165(95)90062-4

Extending polar spaces of rank at least 3

Dmitrii V. Pasechnik^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

It is shown that the extended polar space for the sporadic Fischer group Fi₂₂ is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space over GF(2). New examples of EGQ(4, 1) andEGQ(4, 2) are presented as well.

Original language	English (US)
Pages (from-to)	232-242
Number of pages	11
Journal	Journal of Combinatorial Theory - Series A
Volume	72
Issue number	2
DOIs	https://doi.org/10.1016/0097-3165(95)90062-4
State	Published - Nov 1995
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(95)90062-4

Cite this

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title = "Extending polar spaces of rank at least 3",

abstract = "It is shown that the extended polar space for the sporadic Fischer group Fi22 is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space over GF(2). New examples of EGQ(4, 1) andEGQ(4, 2) are presented as well.",

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AB - It is shown that the extended polar space for the sporadic Fischer group Fi22 is the only extended polar space which has more than two extended planes on a block and is not isomorphic to a quotient of an affine polar space over GF(2). New examples of EGQ(4, 1) andEGQ(4, 2) are presented as well.

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Extending polar spaces of rank at least 3

Abstract

ASJC Scopus subject areas

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