T. G. Ostrom, "Translation planes of even order in which the dimension has only one odd factor", International Journal of Mathematics and Mathematical Sciences, vol. 3, Article ID 343279, 20 pages, 1980. https://doi.org/10.1155/S0161171280000488
Translation planes of even order in which the dimension has only one odd factor
Let be an irreducible subgroup of the linear translation complement of a finite translation plane of order where is a power of . is in the kernel and where is an odd prime. A prime factor of must divide .One possibility (there are no known examples) is that has a normal subgroup which is a -group for some prime .The maximal normal subgroup satisfies one of the following: 1. Cyclic. 2. Normal cyclic subgroup of index and the nonfixed-point-free elements in have order . 3. contains a group as above.
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