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By George E. Andrews, Peter Paule, Axel Riese (auth.), Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann (eds.)

ISBN-10: 3540411100

ISBN-13: 9783540411109

ISBN-10: 3642594484

ISBN-13: 9783642594489

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Extra info for Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, Germany, September 12–19, 1999

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12 (1981), 3-35. 10. P. Dembowski: Finite geometries. Classics in Mathematics. Springer-Verlag, Berlin, 1997. Reprint of the 1968 original. 11. C. Colbourn, J. Dinitz: CRC Handbook of Combinatorial Designs, CRC press, Boca Raton, New York, London, Tokyo, 1996. 12. G. Heathcote: Linear spaces on 16 points. J. Combin. Des. 1 (1993), 359-378. 13. 1; Aachen, St. Andrews, 1999.

Bm) j=l m - An-1 I1 (1- AnBj) Pn-l,m,a(At, ... , An-2, An-1; Bt, ... , Bm)} j=l and for n = 1, if a:::; 0, if a > 0 . Proof. The proof of the recurrence is exactly as the proof in the S1~-case [4, Theorem 2]. We again use the convenient identity and the rest follows as before. The n = 1 case splits into two cases as before: Case a:::; 0. ) (1 - ~) (1 - ,. ) · · · (1 - ~) 00 which means that when a :::; 0 36 George E. Andrews, Peter Paule, Axel Riese, and Volker Strehl Case a > 0. ,. -aßn1 1 1 "" ~ ··· Bn"' m nt , .

The order of the group is thus the product of the indices, i. e. the product of the exponents in the first column of the presentation. We identified the groups in the table of small groups contained in the algebra software package GAP [13] (Version 4) . This catalogue is based on the work of H. U. Besehe, B. Eick and E. O'Brien. We denote the n-th group of order m in this catalogue by m#GAPn. The Linear Space 010-151-288 The automorphism group has order 54 and is isomorphic to 54#GAP5. The TDA-scheme is isomorphic to the TDOscheme, i.

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Algebraic Combinatorics and Applications: Proceedings of the Euroconference, Algebraic Combinatorics and Applications (ALCOMA), held in Gößweinstein, Germany, September 12–19, 1999 by George E. Andrews, Peter Paule, Axel Riese (auth.), Anton Betten, Axel Kohnert, Reinhard Laue, Alfred Wassermann (eds.)


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