On the resolvability of Hall triple systems
Oxenham, Martin ; Casse, Rey
Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998), p. 639-649 / Harvested from Biblioteca Digitale Italiana di Matematica
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È ben noto che fra le classi di sistemi ternari di Hall (HTS), gli HTS Abeliani ammettano una risoluzione siccome sono esattamente gli spazi affini finiti d'ordine 3; per questi sistemi una tal risoluzione è fornita dalla relazione di parallelismo. In questa nota viene dimostrato che certe classi di HTS non Abeliani costrutti dai gruppi di Burnside B⁢3,r, r≥3 anche ammettono una risoluzione. Allora, questi esempi di HTS si possono considerare anche come spazi finiti di Sperner e dunque la nota conclude con un discorso d'una domanda posta di Barlotti in [1] riguardo a questi spazi.

Publié le : 1998-10-01
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     author = {Martin Oxenham and Rey Casse},
     title = {On the resolvability of Hall triple systems},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1-A},
     year = {1998},
     pages = {639-649},
     zbl = {0918.05019},
     mrnumber = {1662345},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1998_8_1B_3_639_0}
}

Oxenham, Martin; Casse, Rey. On the resolvability of Hall triple systems. Bollettino dell'Unione Matematica Italiana, Tome 1-A (1998) pp. 639-649. http://gdmltest.u-ga.fr/item/BUMI_1998_8_1B_3_639_0/

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