Abstract
In this paper a new translation plane of order 25 is constructed. It has a collineation group acting on the line at infinity as a permutation group Z of order 48 with the properties:
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(i)
Z contains a normal subgroup 1/2M of order 3 such that Z/1/2M is the direct product of an involution with a dihedral group of order 8.
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(ii)
The orbits of Z have lengths 2, 12, 12.
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Abatangelo, L.M., Abatangelo, V. & Korchmaros, G. A translation plane of order 25. J Geom 22, 108–116 (1984). https://doi.org/10.1007/BF01222834
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DOI: https://doi.org/10.1007/BF01222834