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Cohomological characterization of the Hilbert symbol over Q*p

Part of: Special aspects of infinite or finite groups $K$-theory in number theory

Published online by Cambridge University Press:  09 April 2009

Fernando Pablos Romo
Fernando Pablos Romo
Affiliation:
Department de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain, e-mail: [email protected]
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Abstract

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The aim of this work is to offer a new characterization of the Hilbert symbol Q*p from the commutator of a certain central extension of groups. We obtain a characterization for Q*p (p≠2) and a different one for Q*2.

MSC classification

Secondary: 19F15: Symbols and arithmetic 20F12: Commutator calculus
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 79 , Issue 3 , December 2005 , pp. 361 - 368
Copyright
Copyright © Australian Mathematical Society 2005

References

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