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Characterization of Translation Planes by Orbit Lengths

✍ Scribed by Yutaka Hiramine; Vikram Jha; Norman L. Johnson

Book ID
110221429
Publisher
Springer
Year
1999
Tongue
English
Weight
75 KB
Volume
78
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

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## Abstract A general theory of collineation groups generated by quartic groups of even order is considered. Applications are given to collineation groups generated by β€˜large’ quartic groups. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 13: 195–210, 2005.

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A class of translation planes of order q2rn+l, where q is an odd prime power and m/> 1, is constructed. If m= 1, then this class is contained in the class of order q3 constructed by Hiramine I-5]. These planes of order q2m+~ are of dimension 2m+l over their kernels. If q2m+~ ~ 33, then the linear tr