Extended generalized octagons and the group He
Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is a thick line through any point of Γu. Then Γ is one of the two examples related...
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sg-ntu-dr.10356-957952023-02-28T19:39:40Z Extended generalized octagons and the group He Pasechnik, Dmitrii V. School of Physical and Mathematical Sciences Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is a thick line through any point of Γu. Then Γ is one of the two examples related to the groups 2·L3(4).22 and He. It is also shown that Γ does not admit further extensions. Accepted version 2013-04-03T08:45:16Z 2019-12-06T19:21:45Z 2013-04-03T08:45:16Z 2019-12-06T19:21:45Z 1995 1995 Journal Article Pasechnik, D. V. (1995). Extended generalized octagons and the group He. Geometriae Dedicata, 56(1), 85-101. 0046-5755 https://hdl.handle.net/10356/95795 http://hdl.handle.net/10220/9444 10.1007/BF01263615 en Geometriae dedicata © 1995 Kluwer Academic Publishers. This is the author created version of a work that has been peer reviewed and accepted for publication by Geometriae Dedicata, Kluwer Academic Publishers. 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: [10.1007/BF01263615]. application/pdf |
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Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is a thick line through any point of Γu. Then Γ is one of the two examples related to the groups 2·L3(4).22 and He. It is also shown that Γ does not admit further extensions. |
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School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Pasechnik, Dmitrii V. |
| format |
Article |
| author |
Pasechnik, Dmitrii V. |
| spellingShingle |
Pasechnik, Dmitrii V. Extended generalized octagons and the group He |
| author_sort |
Pasechnik, Dmitrii V. |
| title |
Extended generalized octagons and the group He |
| title_short |
Extended generalized octagons and the group He |
| title_full |
Extended generalized octagons and the group He |
| title_fullStr |
Extended generalized octagons and the group He |
| title_full_unstemmed |
Extended generalized octagons and the group He |
| title_sort |
extended generalized octagons and the group he |
| publishDate |
2013 |
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https://hdl.handle.net/10356/95795 http://hdl.handle.net/10220/9444 |
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1759857371743518720 |