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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
