Translation planes admitting a pair of index three homology groups |
| |
Authors: | Dean E Draayer |
| |
Institution: | (1) 20 Brookwood Drive, South Burlington, VT 05403-6202, USA, e-mail: draayer@surfglobal.net, US |
| |
Abstract: | It is shown that a translation plane of order which admits two homology groups of order must in fact admit symmetric homology groups of this order. It is further shown that a plane admitting such symmetric index
3 homology groups is, with a finite number of exceptions, a generalized André plane. A list of the possibly exceptional orders
is determined.
Received 20 March 2000. |
| |
Keywords: | : Homology generalized André translation plane |
本文献已被 SpringerLink 等数据库收录! |
|