Hyperbolic Fibrations and q-Clans |
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| Authors: | R D Baker G L Ebert Tim Penttila |
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| Institution: | (1) Department of Mathematics, West Virginia State College, Institute, WV 25112, USA;(2) Department of Math. Sci., Univ. of Delaware, Newark, DE 19716, USA;(3) Department of Mathematics and Statistics, Univ. of Western Australia, WA, 6907, Australia |
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| Abstract: | We show there is a bijection between regular hyperbolic fibrations with constant back half and normalized q-clans. Thus there is also a bijection with flocks of a quadratic cone, once a conic of the flock has been specified. This yields a plethora of two-dimensional translation planes of even and odd order which arise from spreads admitting a regular elliptic cover. |
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