The range order of a product of i transformations from a finite full transformation semigroup.
Peter M. Higgins (1988)
Semigroup forum
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Peter M. Higgins (1988)
Semigroup forum
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C.J. Maxson (1972)
Semigroup forum
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J. Néraud (1990)
Semigroup forum
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Jeremy Lovejoy, Robert Osburn (2010)
Acta Arithmetica
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Alexandre I. Danilenko (2008)
Studia Mathematica
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Utilizing the cut-and-stack techniques we construct explicitly a weakly mixing rigid rank-one transformation T which is conjugate to T². Moreover, it is proved that for each odd q, there is such a T commuting with a transformation of order q. For any n, we show the existence of a weakly mixing T conjugate to T² and whose rank is finite and greater than n.
Robert J. Archbold, Eberhard Kaniuth (2006)
Studia Mathematica
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Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.
G. Markowsky (1992)
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G.M.S. Gomes, J.M. Howie (1992)
Semigroup forum
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V.V. Demencuk (1974)
Semigroup forum
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G. S. Rogers (1983)
Applicationes Mathematicae
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Sébastien Ferenczi (1997)
Colloquium Mathematicae
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A. Lachlan (1974)
Fundamenta Mathematicae
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