Corrections to Dickson's Table of Three Dimensional Division Algebras over F5

Fred Long

doi:10.1090/S0025-5718-1977-0442043-3

Corrections to Dickson's Table of Three Dimensional Division Algebras over F5

Fred Long

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1031-1033
Number of pages	3
Journal	Mathematics of Computation (MCOM)
Volume	31
Issue number	140
DOIs	https://doi.org/10.1090/S0025-5718-1977-0442043-3
Publication status	Published - 31 Oct 1977

Keywords

The field of five elements
Three dimensional division algebras

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10.1090/S0025-5718-1977-0442043-3

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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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Corrections to Dickson's Table of Three Dimensional Division Algebras over F5

Abstract

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