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Semiregular Large Sets
Authors:Charles A Cusack  Spyros S Magliveras
Institution:(1) Department of Computer Science and Engineering, University of Nebraska–Lincoln, Lincoln, Nebraska, 68588, U.S.A
Abstract:We develop the notion of t-homogeneous, G-semiregular large sets of t-designs, show that there are infinitely many 3-homogeneous PSL(2, q)-semiregular large sets when qequiv 3 mod 4, two sporadic 3-homogeneous AGammaL(1,32)-semiregular large sets, and no other interesting t-homogeneous G-semiregular large sets for t ge 3.
Keywords:combinatorial designs  t-designs  large sets
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