Eine verallgemeinerte Higman-Gruppe
نویسندگان
چکیده
منابع مشابه
A Generalization of the Cartan- Brauer-hua Theorem
2. G. Higman, On finite groups of exponent five, Proc. Cambridge Philos. Soc. 52 (1956), 381-390. 3. A. I. Kostrikin, On Burnside's problem, Dokl. Akad. Nauk SSSR 119 (1958), 1081-1084. (Russian) 4. M. Lazard, Sur les groupes nilpotents et les anneaux de Lie, Ann. École Norm. Sup. (3) 71 (1954), 101-190. 5. H. Zassenhaus, Ein Verfahren, jeder endlichen p-Gruppe eine Lie-Ring mit der Charakteris...
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In fact, this statement is a corollary to a more general theorem on well-partiallyordered sets. Here a partially ordered set is called well-partially-ordered, if every non-empty subset has at least one, but no more than a finite number of minimal elements (finite basis property). For instance, the set A∗, where A is a finite alphabet, under the scattered subword relation ≤, i.e., v ≤ w if and o...
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The inequality of Higman for generalized quadrangles of order (s, t) with s > 1 states that t ≤ s. We will generalize this by proving that the intersection number ci of a regular near 2d-gon of order (s, t) with s > 1 satisfies the tight bound ci ≤ (s − 1)/(s − 1), and we give properties in case of equality. It is known that hemisystems in generalized quadrangles meeting the Higman bound induce...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1982
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(82)80006-1