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

John Bamberg (UGent) , Tim Penttila and Csaba Schneider
(2008) JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. 85(3). p.289-303
Author
Organization
Abstract
We show that an elation generalized quadrangle which has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).
Keywords
flock, elation generalized quadrangle, p-group, Kantor family, FLOCKS, ORDER, CONES

Citation

Please use this url to cite or link to this publication:

MLA
Bamberg, John, et al. “Elation Generalized Quadrangles for Which the Number of Lines on a Point Is the Successor of a Prime.” JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol. 85, no. 3, 2008, pp. 289–303, doi:10.1017/S1446788708000803.
APA
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
Chicago author-date
Bamberg, John, Tim Penttila, and Csaba Schneider. 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.
Chicago author-date (all authors)
Bamberg, John, Tim Penttila, and Csaba Schneider. 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. doi:10.1017/S1446788708000803.
Vancouver
1.
Bamberg J, Penttila T, Schneider C. Elation generalized quadrangles for which the number of lines on a point is the successor of a prime. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. 2008;85(3):289–303.
IEEE
[1]
J. Bamberg, T. Penttila, and C. Schneider, “Elation generalized quadrangles for which the number of lines on a point is the successor of a prime,” JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, vol. 85, no. 3, pp. 289–303, 2008.
@article{513723,
  abstract     = {{We show that an elation generalized quadrangle which has p + 1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).}},
  author       = {{Bamberg, John and Penttila, Tim and Schneider, Csaba}},
  issn         = {{0004-9735}},
  journal      = {{JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY}},
  keywords     = {{flock,elation generalized quadrangle,p-group,Kantor family,FLOCKS,ORDER,CONES}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{289--303}},
  title        = {{Elation generalized quadrangles for which the number of lines on a point is the successor of a prime}},
  url          = {{http://doi.org/10.1017/S1446788708000803}},
  volume       = {{85}},
  year         = {{2008}},
}
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