On the number of generating pairs for the groups and .
Suchkov, N.M., Prikhod'ko, D.M. (2001)
Sibirskij Matematicheskij Zhurnal
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Suchkov, N.M., Prikhod'ko, D.M. (2001)
Sibirskij Matematicheskij Zhurnal
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Hashemi, M. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Kabanov, A.N. (2009)
Sibirskij Matematicheskij Zhurnal
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Hatcher, Allan, Vogtmann, Karen, Wahl, Natalie (2006)
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Zavarnitsin, A.V. (2002)
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Jan Kwiatkowski (1998)
Fundamenta Mathematicae
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For any m, 2 ≤ m < ∞, we construct an ergodic dynamical system having spectral multiplicity m and infinite rank. Given r > 1, 0 < b < 1 such that rb > 1 we construct a dynamical system (X, B, μ, T) with simple spectrum such that r(T) = r, F*(T) = b, and
Michael Keane, Jacek Serafin (1998)
Fundamenta Mathematicae
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Let T be a finite entropy, aperiodic automorphism of a nonatomic probability space. We give an elementary proof of the existence of a finite entropy, countable generating partition for T.
M. S. Audu, A. Afolabi, E. Apine (2006)
Kragujevac Journal of Mathematics
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