Extending polar spaces of rank at least 3
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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sg-ntu-dr.10356-953672023-02-28T19:23:44Z Extending polar spaces of rank at least 3 Pasechnik, Dmitrii V. School of Physical and Mathematical Sciences 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. Accepted version 2013-04-03T08:12:38Z 2019-12-06T19:13:35Z 2013-04-03T08:12:38Z 2019-12-06T19:13:35Z 1995 1995 Journal Article Pasechnik, D. V. (1995). Extending polar spaces of rank at least 3. Journal of Combinatorial Theory, Series A, 72(2), 232-242. 0097-3165 https://hdl.handle.net/10356/95367 http://hdl.handle.net/10220/9440 10.1016/0097-3165(95)90062-4 en Journal of combinatorial theory, series A © 1995 Academic Press, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Combinatorial Theory, Series A, Academic Press, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/0097-3165(95)90062-4]. application/pdf |
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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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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Pasechnik, Dmitrii V. |
| format |
Article |
| author |
Pasechnik, Dmitrii V. |
| spellingShingle |
Pasechnik, Dmitrii V. Extending polar spaces of rank at least 3 |
| author_sort |
Pasechnik, Dmitrii V. |
| title |
Extending polar spaces of rank at least 3 |
| title_short |
Extending polar spaces of rank at least 3 |
| title_full |
Extending polar spaces of rank at least 3 |
| title_fullStr |
Extending polar spaces of rank at least 3 |
| title_full_unstemmed |
Extending polar spaces of rank at least 3 |
| title_sort |
extending polar spaces of rank at least 3 |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/95367 http://hdl.handle.net/10220/9440 |
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1759857317468176384 |