Perfect numbers and finite groups
Tom De Medts, Attila Maróti (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Tom De Medts, Attila Maróti (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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Łukasz Garncarek (2014)
Colloquium Mathematicae
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We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
P. John, H. Sachs, H. Zernitz (1987)
Applicationes Mathematicae
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Robert P. Boyer (2003)
Studia Mathematica
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We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...
G. L. Garg, B. Kumar (1989)
Matematički Vesnik
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Suleiman, Ibrahim A.I., Wilson, Robert A. (1993)
Experimental Mathematics
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M. N. Mukherjee, S. Raychaudhuri (1993)
Matematički Vesnik
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Tošić, Ratko, Vojvodić, Dušan (2000)
Novi Sad Journal of Mathematics
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A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
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Min Tang, Xiao-Zhi Ren, Meng Li (2013)
Colloquium Mathematicae
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For a positive integer n, let σ(n) denote the sum of the positive divisors of n. Let d be a proper divisor of n. We call n a near-perfect number if σ(n) = 2n + d, and a deficient-perfect number if σ(n) = 2n - d. We show that there is no odd near-perfect number with three distinct prime divisors and determine all deficient-perfect numbers with at most two distinct prime factors.
Selami Ercan (2015)
Open Mathematics
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In the present article we define W-paths of elements in a W-perfect group as a useful tools and obtain their basic properties.