Berend, Daniel Multi-invariant sets on compact Abelian groups. (English) Zbl 0523.22004 Trans. Am. Math. Soc. 286, 505-535 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 21 Documents MSC: 22C05 Compact groups 54H20 Topological dynamics (MSC2010) 22D40 Ergodic theory on groups Keywords:multi-parameter flow; minimal flow; ergodic endomorphism PDFBibTeX XMLCite \textit{D. Berend}, Trans. Am. Math. Soc. 286, 505--535 (1984; Zbl 0523.22004) Full Text: DOI References: [1] Daniel Berend, Multi-invariant sets on tori, Trans. Amer. Math. Soc. 280 (1983), no. 2, 509 – 532. · Zbl 0532.10028 [2] A. I. Borevich and I. R. Shafarevich, Number theory, Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. · Zbl 0145.04902 [3] James R. Brown, Ergodic theory and topological dynamics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1976. Pure and Applied Mathematics, No. 70. · Zbl 0334.28011 [4] László Fuchs, Infinite abelian groups. Vol. II, Academic Press, New York-London, 1973. Pure and Applied Mathematics. Vol. 36-II. · Zbl 0257.20035 [5] Harry Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Systems Theory 1 (1967), 1 – 49. · Zbl 0146.28502 [6] Harry Furstenberg, Intersections of Cantor sets and transversality of semigroups, Problems in analysis (Sympos. Salomon Bochner, Princeton Univ., Princeton, N.J., 1969) Princeton Univ. Press, Princeton, N.J., 1970, pp. 41 – 59. [7] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. I, 2nd ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 115, Springer-Verlag, Berlin-New York, 1979. Structure of topological groups, integration theory, group representations. · Zbl 0416.43001 [8] Nathan Jacobson, Lectures in abstract algebra. Vol. II. Linear algebra, D. Van Nostrand Co., Inc., Toronto-New York-London, 1953. · Zbl 0053.21204 [9] Kurt Mahler, \?-adic numbers and their functions, 2nd ed., Cambridge Tracts in Mathematics, vol. 76, Cambridge University Press, Cambridge-New York, 1981. · Zbl 0444.12013 [10] Władysław Narkiewicz, Elementary and analytic theory of algebraic numbers, PWN — Polish Scientific Publishers, Warsaw, 1974. Monografie Matematyczne, Tom 57. · Zbl 0276.12002 [11] B. L. van der Waerden, Modern algebra. Vol. II, Ungar, New York, 1950. · Zbl 0037.01903 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.