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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Corrections to Dickson's table of three dimensional division algebras over $ F\sb{5}$


Author: F. W. Long
Journal: Math. Comp. 31 (1977), 1031-1033
MSC: Primary 17A30
Original Article: Math. Comp. 31 (1977), 1031-1033.
MathSciNet review: 0442043
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Abstract | References | Similar Articles | Additional Information

Abstract: In 1906 Dickson published a list of noncommutative division algebras of dimension three over the field of finite elements. Recently, Kaplansky has found a mistake in this list; and I used a computer to check all the entries in the list. I then found an algebra missing from the list and used the computer again to make a complete search for all such algebras.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0442043-3
PII: S 0025-5718(1977)0442043-3
Keywords: Three dimensional division algebras, the field of five elements
Article copyright: © Copyright 1977 American Mathematical Society