Metacommutation of Hurwitz primes

Author(s)
Cohn, Henry; Kumar, Abhinav
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Abstract
© 2014 American Mathematical Society. Conway and Smith introduced the operation of metacommutation for pairs of primes in the ring of Hurwitz integers in the quaternions. We study the permutation induced on the primes of norm p by a prime of norm q under metacommutation, where p and q are distinct rational primes. In particular, we show that the sign of this permutation is the quadratic character of q modulo p.
Date issued
2014
URI
https://hdl.handle.net/1721.1/133863
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Cohn, H., and A. Kumar. "Metacommutation of Hurwitz Primes." Proceedings of the American Mathematical Society 143 4 (2015): 1459-69.
Version: Final published version
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