The four known biplanes with k=11
The four known biplanes of order 9(k=11) are described in terms of their ovals, λ-chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putati...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000235 |
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| _version_ | 1832554602762862592 |
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| author | Chester J. Salwach Joseph A. Mezzaroba |
| author_facet | Chester J. Salwach Joseph A. Mezzaroba |
| author_sort | Chester J. Salwach |
| collection | DOAJ |
| description | The four known biplanes of order 9(k=11) are described in terms of their ovals, λ-chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putative plane of order 10. |
| format | Article |
| id | doaj-art-e907545c31f948acaaf029003f49acd4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e907545c31f948acaaf029003f49acd42025-02-03T05:51:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012225126010.1155/S0161171279000235The four known biplanes with k=11Chester J. Salwach0Joseph A. Mezzaroba1Department of Mathematics, Lafayette College, Easton 18042, Pennsylvania, USADepartment of Mathematics, Villanova University, Villanova 19085, Pennsylvania, USAThe four known biplanes of order 9(k=11) are described in terms of their ovals, λ-chain structures, and automorphism groups. An exhaustive computer search for all biplanes of order 9 with certain chain structures has produced but two, one of which is new. None of these four biplanes yield the putative plane of order 10.http://dx.doi.org/10.1155/S0161171279000235 |
| spellingShingle | Chester J. Salwach Joseph A. Mezzaroba The four known biplanes with k=11 International Journal of Mathematics and Mathematical Sciences |
| title | The four known biplanes with k=11 |
| title_full | The four known biplanes with k=11 |
| title_fullStr | The four known biplanes with k=11 |
| title_full_unstemmed | The four known biplanes with k=11 |
| title_short | The four known biplanes with k=11 |
| title_sort | four known biplanes with k 11 |
| url | http://dx.doi.org/10.1155/S0161171279000235 |
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