Elation generalized quadrangles for which the number of lines on a point is the successor of a prime

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Abstract

We show that an elation generalized quadrangle that has p+1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (that is, is a flock quadrangle). © 2009 Australian Mathematical Society.

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Bamberg, J., Penttila, T., & Schneider, C. (2008). Elation generalized quadrangles for which the number of lines on a point is the successor of a prime. Journal of the Australian Mathematical Society, 85(3), 289–303. https://doi.org/10.1017/S1446788708000803

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