On elations in semi-transitive planes
Let π be a semi-transitive translation plane of even order with reference to the subplane π0. If π admits an affine elation fixing π0 for each axis in π0 and the order of π0 is not 2 or 8, then π is a Hall plane.
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000155 |
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| _version_ | 1832545678413266944 |
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| author | N. L. Johnson |
| author_facet | N. L. Johnson |
| author_sort | N. L. Johnson |
| collection | DOAJ |
| description | Let π be a semi-transitive translation plane of even order with reference to the subplane π0. If π admits an affine elation fixing π0 for each axis in π0 and the order of π0 is not 2 or 8, then π is a Hall plane. |
| format | Article |
| id | doaj-art-da5ffbd5910c49ccb2ce9375fbf6d256 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-da5ffbd5910c49ccb2ce9375fbf6d2562025-02-03T07:25:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015115916410.1155/S0161171282000155On elations in semi-transitive planesN. L. Johnson0Department of Mathematics, The University of Iowa, Iowa City 52242, Iowa, USALet π be a semi-transitive translation plane of even order with reference to the subplane π0. If π admits an affine elation fixing π0 for each axis in π0 and the order of π0 is not 2 or 8, then π is a Hall plane.http://dx.doi.org/10.1155/S0161171282000155elationssemi-transitive planes. |
| spellingShingle | N. L. Johnson On elations in semi-transitive planes International Journal of Mathematics and Mathematical Sciences elations semi-transitive planes. |
| title | On elations in semi-transitive planes |
| title_full | On elations in semi-transitive planes |
| title_fullStr | On elations in semi-transitive planes |
| title_full_unstemmed | On elations in semi-transitive planes |
| title_short | On elations in semi-transitive planes |
| title_sort | on elations in semi transitive planes |
| topic | elations semi-transitive planes. |
| url | http://dx.doi.org/10.1155/S0161171282000155 |
| work_keys_str_mv | AT nljohnson onelationsinsemitransitiveplanes |