Non-hyperbolic splitting of quadratic pairs

Becher, Karim Johannes; Dolphin, Andrew

doi:10.1142/S0219498815501388

Non-hyperbolic splitting of quadratic pairs

Becher, Karim Johannes

;

Dolphin, Andrew

(2015) Journal of Algebra and its Applications — Vol. 14, n° 10, p. 1-22 (2015)

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Authors

Becher, Karim Johannes
Author
Dolphin, AndrewUCLouvain
Author

Abstract

We show that a non-hyperbolic quadratic pair on a central simple algebra Brauer equivalent to a quaternion algebra stays non-hyperbolic over some splitting field of the quaternion algebra. This extends a result previously only known for fields of characteristic different from two. Our presentation is free from restrictions on the characteristic of the base field

Affiliations

UCLouvainSST/ICTM - Institute of Information and Communication Technologies, Electronics and Applied Mathematics

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Becher, K. J., & Dolphin, A. (2015). Non-hyperbolic splitting of quadratic pairs. Journal of Algebra and its Applications, 14(10), 1-22. https://doi.org/10.1142/S0219498815501388 (Original work published 2015)