An English mathematician who helped found the modern British school of pure mathematics and, in an 1854 paper, gave the first abstract, axiomatic definition of a group, effectively founding group theory as a subject independent of permutations or numbers. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
BirthplaceRichmond, London, England 1 Nationality / Culture Defining ContributionGave the first abstract, axiomatic definition of a group in 1854 and stated that every group can be represented as a group of permutations, now known as Cayley's theorem. 1 Notable WorkOn the Theory of Groups, as Depending on the Symbolic Equation theta^n = 1 (1854) 1 Arthur Cayley
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Source MacTutor History of Mathematics Archive
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Derived from the theorem's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)
Derived from the theorem's own name (unambiguous possessive-token match to exactly one live mathematician entity, w-bfill-g5-0924 browse backfill)
Proofs Credited
Source Wikipedia: Cayley's Theorem
In the Other Atlases
Sources
1. Wikipedia: Arthur Cayley
Wikimedia FoundationLead section
He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.
Lead section, gender reference
He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.
View the Source Wikipedia: Cayley's Theorem
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