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- aggregation classification "A1".
- aggregation creator person.
- aggregation date "2010".
- aggregation format "application/pdf".
- aggregation hasFormat 1108479.bibtex.
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- aggregation hasFormat 1108479.didl.
- aggregation hasFormat 1108479.doc.
- aggregation hasFormat 1108479.json.
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- aggregation hasFormat 1108479.yaml.
- aggregation isPartOf urn:issn:1077-8926.
- aggregation language "eng".
- aggregation rights "I have retained and own the full copyright for this publication".
- aggregation subject "Mathematics and Statistics".
- aggregation title "The nonexistence of regular near octagons with parameters (s, t, t(2), t(3)) = (2,24,0,8)".
- aggregation abstract "Let S be a regular near octagon with s + 1 = 3 points per line, let t + 1 denote the constant number of lines through a given point of S and for every two points x and y at distance i is an element of {2, 3} from each other, let t(i) + 1 denote the constant number of lines through y containing a (necessarily unique) point at distance i - 1 from x. It is known, using algebraic combinatorial techniques, that (t(2), t(3), t) must be equal to either (0, 0, 1), (0, 0, 4), (0, 3, 4), (0, 8, 24), (1, 2, 3), (2, 6, 14) or (4, 20, 84). For all but one of these cases, there is a unique example of a regular near octagon known. In this paper, we deal with the existence question for the remaining case. We prove that no regular near octagons with parameters (s, t, t(2), t(3)) = (2, 24, 0, 8) can exist.".
- aggregation authorList BK497271.
- aggregation issue "1".
- aggregation volume "17".
- aggregation aggregates 1108480.
- aggregation isDescribedBy 1108479.
- aggregation similarTo LU-1108479.