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The translation planes of order 49 and their automorphism groups

Published:1998 Issue:223 Volume:67 Page:1207-1224
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Charnes C.,Dempwolff U.

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1998-67-223/S0025-5718-98-00961-2/S0025-5718-98-00961-2.pdf

Reference17 articles.

1. A. Aho, B. W. Kernighan and P. J. Weinberger. The AWK Programming Language. Addison-Wesley, Reading, Mass., 1988.

2. Construction of two-dimensional flag-transitive planes;Baker, R. D.;Geom. Dedicata,1988

3. C. Charnes, Ph.D. thesis, Cambridge University, 1989.

4. Quadratic matrices and the translation planes of order 5²;Charnes, Chris,1993

5. A pair of mutually polar translation planes;Charnes, Chris;Ars Combin.,1994

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2. On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces;Designs, Codes and Cryptography;2009-11-19

3. On the transposed Rao’s flag-transitive plane of order 49;Ricerche di Matematica;2009-11-05

4. Factorized spread sets and translation planes with large homology groups;advg;2008-11-21

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