Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces.
J. Mennicke, J. Elstrodt, F. Grunewald (1990)
Inventiones mathematicae
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J. Mennicke, J. Elstrodt, F. Grunewald (1990)
Inventiones mathematicae
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Manfred Armbrust (1973)
Colloquium Mathematicae
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Hao Pan (2007)
Acta Arithmetica
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Scott Ahlgren (2003)
Acta Arithmetica
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Marica D. Prešić (1979)
Publications de l'Institut Mathématique
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A. Rapinchuk (1990)
Banach Center Publications
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Ušan, Janez (1998)
Novi Sad Journal of Mathematics
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Ivan Chajda, Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.
Ying Zhang (2007)
Acta Arithmetica
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Magill, K.D.jun. (1984)
International Journal of Mathematics and Mathematical Sciences
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P. Sarnak, W. Luo, Z. Rudnick (1995)
Geometric and functional analysis
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F. Rudolf Beyl (1986)
Mathematische Zeitschrift
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Gerhard Dorfer (2001)
Discussiones Mathematicae - General Algebra and Applications
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In this paper congruences on orthomodular lattices are studied with particular regard to analogies in Boolean algebras. For this reason the lattice of p-ideals (corresponding to the congruence lattice) and the interplay between congruence classes is investigated. From the results adduced there, congruence regularity, uniformity and permutability for orthomodular lattices can be derived easily.
E. Nazarewicz, M. O'Brien, M. O'Neill, C. Staples (2007)
Acta Arithmetica
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John G. Ratcliffe, Steven T. Tschantz (1997)
Journal für die reine und angewandte Mathematik
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