On the trace map between absolutely abelian number fields of equal conductor
Henri Johnston (2006)
Acta Arithmetica
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Displaying similar documents to “On the class number of some real abelian number fields of prime conductors”
On the trace map between absolutely abelian number fields of equal conductor
On some model theoretic problems concerning certain extensions of abelian groups by groups of finite exponent
Carlo Toffalori (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Computation of relative class numbers of imaginary abelian number fields.
Louboutin, Stéphane (1998)
Experimental Mathematics
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Abelian p-class field towers over the cyclotomic ℤₚ-extensions of imaginary quadratic fields
Keiji Okano (2006)
Acta Arithmetica
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Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
Stéphane R. Louboutin (2006)
Acta Arithmetica
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A finiteness theorem for imaginary abelian number fields.
Stéphane Louboutin (1996)
Manuscripta mathematica
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A note on Greenberg's cojecture for real abelian number fields.
Manabu Ozaki, Hisao Taya (1995)
Manuscripta mathematica
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On abelian versions of critical factorization theorem
Sergey Avgustinovich, Juhani Karhumäki, Svetlana Puzynina (2012)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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In the paper we study abelian versions of the critical factorization theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist.
Some conditions implying that an infinite group is abelian
Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Non-abelian number fields with very large class numbers
Ryan C. Daileda (2006)
Acta Arithmetica
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Abelian Extensions of Arbitrary Fields.
W. Kuyk, H.W. jr. Lenstra (1975)
Mathematische Annalen
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Normal integral bases for infinite abelian extensions
Patrik Lundström (2001)
Acta Arithmetica
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Remarks on unit indices of imaginary abelian number fields II.
Mikihito Hirabayashi, Ken-ichi Yoshino (1989)
Manuscripta mathematica
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Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups
David B. Penman, Matthew D. Wells (2014)
Acta Arithmetica
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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...