Abstract. We study certain finite structures called tents, occurring in the study of a class of torsionfree Abelian Groups of finite rank called Butler B(1)- groups. Tents can be represented as tables of 0s and 1s, with a Z2-linear structure and an order structure. Their transformations are (0,1)-matrices which act linearly as m-tuples of Z2-vectors, but operate also as m-tuples of partitions of {1, . . . , m}. Their action on tents is studied with a special stress on composition. A problem on B(1)-groups is solved as a consequence of this analysis.
Z2-linear order-preserving tranformations of tents / DE VIVO, Clorinda; Metelli, Claudia. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - ELETTRONICO. - LI:1(2002), pp. 159-184.
Z2-linear order-preserving tranformations of tents
DE VIVO, CLORINDA;METELLI, CLAUDIA
2002
Abstract
Abstract. We study certain finite structures called tents, occurring in the study of a class of torsionfree Abelian Groups of finite rank called Butler B(1)- groups. Tents can be represented as tables of 0s and 1s, with a Z2-linear structure and an order structure. Their transformations are (0,1)-matrices which act linearly as m-tuples of Z2-vectors, but operate also as m-tuples of partitions of {1, . . . , m}. Their action on tents is studied with a special stress on composition. A problem on B(1)-groups is solved as a consequence of this analysis.| File | Dimensione | Formato | |
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