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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
Correction: Math. Comp. 31 (1977), 1031-1033.
Original Article: Math. Comp. 31 (1977), 1031-1033.
MathSciNet review: 0442043
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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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Keywords: Three dimensional division algebras, the field of five elements
Article copyright: © Copyright 1977 American Mathematical Society

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