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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1982-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000155 |
| id |
doaj-da5ffbd5910c49ccb2ce9375fbf6d256 |
|---|---|
| record_format |
Article |
| spelling |
doaj-da5ffbd5910c49ccb2ce9375fbf6d2562020-11-25T02:17:15ZengHindawi LimitedInternational 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. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. L. Johnson |
| spellingShingle |
N. L. Johnson On elations in semi-transitive planes International Journal of Mathematics and Mathematical Sciences elations semi-transitive planes. |
| author_facet |
N. L. Johnson |
| author_sort |
N. L. Johnson |
| title |
On elations in semi-transitive planes |
| title_short |
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_sort |
on elations in semi-transitive planes |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1982-01-01 |
| 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. |
| topic |
elations semi-transitive planes. |
| url |
http://dx.doi.org/10.1155/S0161171282000155 |
| work_keys_str_mv |
AT nljohnson onelationsinsemitransitiveplanes |
| _version_ |
1724887409145937920 |