In this paper, we describe an exhaustive computer search for all the translation planes of order 49. The search uses the well-known correspondence between.

These planes were used as a check on the correctness of the complete enumeration – each involutory homology plane had to occur in the final list of planes.

The Known Projective Planes of Order 49. We list the 1347 translation planes (including the Desarguesian plane) and the two Hughes planes, with links to the ...

We conclude that there are exactly 1347 translation planes of order 49, and give some of their properties including group sizes and 7-ranks. 1. Introduction and ...

Using isomorphism invariants, we enumerate the translation planes of order 49 and determine their automorphism groups.

Automorphism Groups of Metacirculant Graphs of Order a Product of Two Distinct Primes · Collineation groups of translation planes admitting hyperbolic Buekenhout ...

Vol. 5, No. 1 · The translation planes of order 49. article. Share on. The translation planes of order 49. Authors: Rudolf Mathon. Rudolf Mathon. View Profile.

Original language, English. Pages (from-to), 57-72. Journal, Designs Codes and Cryptography. Volume, 5. Publication status, Published - 1994 ...

I am currently compiling a list of known projective planes of order 49. As part of this enumeration, here are listed the plane t59 and all known planes of order ...

Abstract. A non-Desarguesian translation plane of order 49, whose collineation group is transitive on the ideal points, is con- structed ...