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A characterisation of thas maximal arcs in translation planes of square order

✍ Scribed by Nicholas Hamilton; Tim Penttila


Book ID
112500175
Publisher
Springer
Year
1994
Tongue
English
Weight
325 KB
Volume
51
Category
Article
ISSN
0047-2468

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In this paper it is shown that given a non-degenerate elliptic quadric in the projective space PG(2n -1, q), q odd, then there does not exist a spread of PG(2n -1, q) such that each element of the spread meets the quadric in a maximal totally singular subspace. An immediate consequence is that the c

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A class of translation planes of order q2, where q =pr, p is a prime, p I>7, p~=t=l (mod 10) and r is an odd natural number is constructed and the translation complements of these planes are determined. A property shared by all these planes is that the translation complement fixes a distinguished po