On embedding numbers into quaternion orders |
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Authors: | J Brzezinski |
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Institution: | 1. Department of Mathematics, Chalmers University of Technology and University of G?teborg, S-412 96, G?teborg, Sweden
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Abstract: | A generalization of the chevalley-Hasse-Noether theorem from maximal orders to arbitrary Eichler orders in quaternion algebras
is given. A stability property for the numbers of orbits for unit groups in quaternion orders acting on optimal embeddings
of quadratic orders is proved. The results are applied to Siegel's meanvalue of integral representations by genera of integral
definite ternary quadratic forms. |
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Keywords: | |
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