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Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2002; 39(4): 653-664

Printed July 1, 2002

Copyright © The Korean Mathematical Society.

Infinite flocks of quadratic cones--II generalized Fisher flocks

Vikram Jha and Norman L. Johnson

Caledonian University and University of Iowa

Abstract

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This article discusses a new representation of the generalized Fisher flocks and shows that there is a unique flock for each full field $K$ of odd or zero characteristic that has a full field quadratic extension. It is also shown that partial flock extensions of `critical linear subflocks' are completely determined.

Keywords: conical flock, Fisher flocks, infinite flock

MSC numbers: Primary 51E23; Secondary 51A40

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