On collineation groups of translation planes of order q4
Let P be an affine translation plane of order q4 admitting a nonsolvable group G in its translation complement. If G fixes more than q+1 slopes, the structure of G is determined. In particular, if G is simple then q is even and G=L2(2s) for some integer s at least 2.
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Hindawi Limited
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171286000777 |
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doaj-10744f8294a14dffb719dab53b14a9572020-11-24T22:30:07ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019361762010.1155/S0161171286000777On collineation groups of translation planes of order q4V. Jha0N. L. Johnson1Department of Mathematics, The University of Iowa, Iowa City 52242, IA, USADepartment of Mathematics, The University of Iowa, Iowa City 52242, IA, USALet P be an affine translation plane of order q4 admitting a nonsolvable group G in its translation complement. If G fixes more than q+1 slopes, the structure of G is determined. In particular, if G is simple then q is even and G=L2(2s) for some integer s at least 2.http://dx.doi.org/10.1155/S0161171286000777translation planesnonsolvable groups. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
V. Jha N. L. Johnson |
| spellingShingle |
V. Jha N. L. Johnson On collineation groups of translation planes of order q4 International Journal of Mathematics and Mathematical Sciences translation planes nonsolvable groups. |
| author_facet |
V. Jha N. L. Johnson |
| author_sort |
V. Jha |
| title |
On collineation groups of translation planes of order q4 |
| title_short |
On collineation groups of translation planes of order q4 |
| title_full |
On collineation groups of translation planes of order q4 |
| title_fullStr |
On collineation groups of translation planes of order q4 |
| title_full_unstemmed |
On collineation groups of translation planes of order q4 |
| title_sort |
on collineation groups of translation planes of order q4 |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1986-01-01 |
| description |
Let P be an affine translation plane of order q4 admitting a nonsolvable group G in its translation complement. If G fixes more than q+1 slopes, the structure of G is determined. In particular, if G is simple then q is even and G=L2(2s) for some integer s at least 2. |
| topic |
translation planes nonsolvable groups. |
| url |
http://dx.doi.org/10.1155/S0161171286000777 |
| work_keys_str_mv |
AT vjha oncollineationgroupsoftranslationplanesoforderq4 AT nljohnson oncollineationgroupsoftranslationplanesoforderq4 |
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1725741940477001728 |