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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1979-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000235 |
| id |
doaj-e907545c31f948acaaf029003f49acd4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-e907545c31f948acaaf029003f49acd42020-11-24T21:38:17ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chester J. Salwach Joseph A. Mezzaroba |
| spellingShingle |
Chester J. Salwach Joseph A. Mezzaroba The four known biplanes with k=11 International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Chester J. Salwach Joseph A. Mezzaroba |
| author_sort |
Chester J. Salwach |
| title |
The four known biplanes with k=11 |
| title_short |
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_sort |
four known biplanes with k=11 |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1979-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/S0161171279000235 |
| work_keys_str_mv |
AT chesterjsalwach thefourknownbiplaneswithk11 AT josephamezzaroba thefourknownbiplaneswithk11 AT chesterjsalwach fourknownbiplaneswithk11 AT josephamezzaroba fourknownbiplaneswithk11 |
| _version_ |
1725934991493300224 |