By A. Barlotti, etc.
Curiosity in combinatorial concepts has been enormously superior by means of the functions they could supply in reference to machine expertise. The 38 papers during this quantity survey the state-of-the-art and file on contemporary leads to Combinatorial Geometries and their applications.
Contributors: V. Abatangelo, L. Beneteau, W. Benz, A. Beutelspacher, A. Bichara, M. Biliotti, P. Biondi, F. Bonetti, R. Capodaglio di Cocco, P.V. Ceccherini, L. Cerlienco, N. Civolani, M. de Soete, M. Deza, F. Eugeni, G. Faina, P. Filip, S. Fiorini, J.C. Fisher, M. Gionfriddo, W. Heise, A. Herzer, M. Hille, J.W.P. Hirschfield, T. Ihringer, G. Korchmaros, F. Kramer, H. Kramer, P. Lancellotti, B. Larato, D. Lenzi, A. Lizzio, G. Lo Faro, N.A. Malara, M.C. Marino, N. Melone, G. Menichetti, ok. Metsch, S. Milici, G. Nicoletti, C. Pellegrino, G. Pica, F. Piras, T. Pisanski, G.-C. Rota, A. Sappa, D. Senato, G. Tallini, J.A. Thas, N. Venanzangeli, A.M. Venezia, A.C.S. Ventre, H. Wefelscheid, B.J. Wilson, N. Zagaglia Salvi, H. Zeitler.
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Example text
Amici e B. Casciaro* In this paper, a generalization of Buekenhout's theorem on pascalian ovals is proved. 1. INTRODUZIONE Un'ovale ~ di un piano proiettivo TI e notoriamente un insieme di punti a tre a tre non allineati, tale che fra le rette passanti per un qualsiasi suo punta ne esista una sola tangente, cioe una sola retta non avente altri punti in comune con n. Un esagono AOA1A2A3A4A5 inscritto in ~ si dice pascaliano se suoi punti diagonali AOAl n A3 A4 ' sono allineati. A. =A. 1 ad n). 1 1+ 1 1+ n si dice pascaliana se ogni esagono in essa inscritto e pascaliano.
Id} 2) H contains an involution with exactly one fixed element. with Then the permutations in Hwhich leave at least two, but not all elements of M fixed form the generating set of a perpendicularity group. I am working at a MS on Hjelms1ev groups and I learned that for writing a good book about the geometry of Hje1mslev groups, it is important to ascertain what can already be proved for perpendicularity groups. My MS contains nearly 50 theorems and lemmas which hold for all perpendicularity groups; Chap.
E. r divides s whence o~del" pr o~ p2r and it is the Frobenius kemel of KN. ) iJelongs to Z(H) and is a p-powe~ of some element in H. f. automorphisms of order pr_ l • As Z(H) I 1 (H is a p-group), Z(H) contains at least r p -1 elements of order p. \ =l Owing to an hypothesis there exist A,~ E H such that = 1: the previous arguments show that H has pr_l elements satisfying the same conditions of A. 1;)p = l when \J E H. Therefore for each p-element A E H which is a p-power of I 1 and :\p some element in H, there are at least pr elements in H having p-power equal to A.