We give a complete classification of translation planes of order 23(2) whose translation complement contains a subgroup G such that the quotient group (G) over bar modulo scalars is isomorphic to A(6). Up to isomorphism, there are exactly 23 such planes and six of them have a larger translation complement being modulo scalars isomorphic to S-6. We also survey the known results on this subject and compare our results with those due to Moorhouse [7].
Translation planes of order 23^2 / Abatangelo, Vito; Emma, D; Larato, Bambina. - In: CONTRIBUTIONS TO DISCRETE MATHEMATICS. - ISSN 1715-0868. - 8:2(2013), pp. 1-18.
Translation planes of order 23^2
ABATANGELO, Vito;LARATO, Bambina
2013-01-01
Abstract
We give a complete classification of translation planes of order 23(2) whose translation complement contains a subgroup G such that the quotient group (G) over bar modulo scalars is isomorphic to A(6). Up to isomorphism, there are exactly 23 such planes and six of them have a larger translation complement being modulo scalars isomorphic to S-6. We also survey the known results on this subject and compare our results with those due to Moorhouse [7].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.
