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: (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. (ii) The orbits of Z have lengths 2, 12, 12.

A translation plane of order 25 / Abatangelo, L. M.; Abatangelo, V.; Korchmaros, G.. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 22:2(1984), pp. 108-116. [10.1007/BF01222834]

A translation plane of order 25

V. Abatangelo;
1984-01-01

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: (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. (ii) The orbits of Z have lengths 2, 12, 12.
1984
A translation plane of order 25 / Abatangelo, L. M.; Abatangelo, V.; Korchmaros, G.. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 22:2(1984), pp. 108-116. [10.1007/BF01222834]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5866
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