A Semifield of Order 5⁴ Admitting a Free 4-Group of Automorphisms

REFERENCES

• Boerner , V. L. ( 1986 ). A class of semifields of order q 4 . J. Geometry 27 : 112 – 118 .
   Google Scholar
• Buekenhout , F. ( 1995 ). Handbook of Incidence Geometry . Amsterdam .
   Google Scholar
• Cordero , M. , Figueroa , R. ( 1993 ). On some new classes of semifields . Osaka. J. Math. 30 : 171 – 178 .
   Google Scholar
• Cordero , M. , Wence , G. P. ( 1999 ). A survey of finite semifields . Discrete Math 208/209 : 125 – 137 .
   Web of Science ®Google Scholar
• Dembowski , P. (1968). Finite Geometries . Springer.
   Google Scholar
• Dempwolf , U. ( 1989 ). Involutory homologies on affine planes: the conclusion . Abh. Math. Sem. Univ. Hamburg 59 : 43 – 59 .
   Google Scholar
• Hering , Ch. , Ho , C. Y. ( 1986 ). On free involutions in linear groups and collineation groups of translation planes . J. Geom. 26 : 115 – 147 .
   Google Scholar
• Hughes , D. R. , Piper , F. C. ( 1982 ). Projective Planes . New York : Springer .
   Google Scholar
• Knuth , D. E. ( 1965 ). Finite semifields and projective planes . J. Algebra 2 : 182 – 217 .
   Google Scholar
• Ostrom , T. G. ( 1981 ). Elementary abelian 2-groups in finite translation planes . Arch. Math. 36 : 21 – 22 .
   Google Scholar
• Communicated by M. Cohen.
   Google Scholar