Translation planes admitting a linear Abelian group of order
.
Abstract
Translation planes of order
and spread in
, where
is an odd prime power and
has a
-primitive divisor, that admit a linear Abelian group of order
containing at most three kernel homologies are shown to be associated to flocks of quadratic cones.
![q^2](https://853417.krfdn.asia/plugins/generic/latexRender/cache/16db377156b6a727777f391bcbe853c0.png)
![PG(3,q)](https://853417.krfdn.asia/plugins/generic/latexRender/cache/4a9271d89a2558a43a5b9866c0a1cc9a.png)
![q](https://853417.krfdn.asia/plugins/generic/latexRender/cache/7694f4a66316e53c8cdd9d9954bd611d.png)
![q^2-1](https://853417.krfdn.asia/plugins/generic/latexRender/cache/07b9a7aa4a263bd019fbb12b5de4542a.png)
![p](https://853417.krfdn.asia/plugins/generic/latexRender/cache/83878c91171338902e0fe0fb97a8c47a.png)
![(q+1)^2](https://853417.krfdn.asia/plugins/generic/latexRender/cache/ffa17342c0ae95d768e28ddba8f29565.png)
DOI Code:
10.1285/i15900932v29n1supplp59
Keywords:
Translation plane; flock of quadratic cone; homologies
Translation plane; flock of quadratic cone; homologies
Full Text: PDF