On tactical decompositions of class number 2 |
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Authors: | Yutaka Hiramine Chihiro Suetake |
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Institution: | (1) Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, 560 Osaka, Japan;(2) Amagasaki-minami High School, Amagasaki, 660 Hyogo, Japan |
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Abstract: | In this article we consider tactical decompositions of class number 2 of symmetric designs. Our main result says that if the orders are prime, then the only decompositions are of affine type. Moreover, we study symmetric decompositions of finite projective planes and show that, except in some cases, they are related to Baer subplanes, unitals, or 2 - ((m
2 - m + 1)m, m, 1)designs. |
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Keywords: | Symmetric designs tactical decompositions finite projective planes |
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