The Ambiguous Class Group and the Genus Group of Certain Non-Normal Extensions
Colin D. Walter (1978-1979)
Séminaire de théorie des nombres de Grenoble
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Colin D. Walter (1978-1979)
Séminaire de théorie des nombres de Grenoble
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Robert D.M. Accola (1993)
Manuscripta mathematica
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Karl Otto Stöhr (1990)
Manuscripta mathematica
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D. Martinalis, L. Schneps (1993)
Manuscripta mathematica
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Robert C. Valentini, L. Madan Manohar (1981)
Journal für die reine und angewandte Mathematik
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E.V. Flynn (1995)
Manuscripta mathematica
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Irene Llerena (1994)
Forum mathematicum
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Yakovlev, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Kenji Ueno, Y. Namikawa (1973)
Manuscripta mathematica
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L. Chiantini, C. Ciliberto (1995)
Manuscripta mathematica
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Miklós Abért, Nikolay Nikolov (2012)
Journal of the European Mathematical Society
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We study the growth of the rank of subgroups of finite index in residually finite groups, by relating it to the notion of cost. As a by-product, we show that the ‘rank vs. Heegaard genus’ conjecture on hyperbolic 3-manifolds is incompatible with the ‘fixed price problem’ in topological dynamics.
H. Röhrl, M.B. Wischnewsky (1976)
Manuscripta mathematica
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David Singerman, Paul Watson (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We say that a finite group G of automorphisms of a Riemann surface X is non-maximal in genus g if (i) G acts as a group of automorphisms of some compact Riemann surface Xg of genus g and (ii), for all such surfaces Xg , |Aut Xg| > |G|. In this paper we investigate the case where G is a cyclic group Cn of order n. If Cn acts on only finitely many surfaces of genus g, then we completely solve the problem of finding all such pairs (n,g).
Bryan, Jim, Donagi, Ron (2002)
Geometry & Topology
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Uwe Pflaum (1987)
Manuscripta mathematica
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Jürgen Rathmann (1989)
Mathematische Zeitschrift
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Michel Matignon (1987)
Manuscripta mathematica
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