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Arthur Cayley
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Arthur Cayley was an English mathematician who lived from 1821 to 1895 and made significant contributions to his field during the nineteenth century. His work helped establish foundations in abstract mathematics that continue to influence the discipline today.
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Wikidata facts
- Instance of
- human
- Given name
- Arthur
- Gender
- male
- Citizenship
- United Kingdom
- Place of birth
- Richmond
- Place of death
- Cambridge
- Occupation
- barrister
- Position held
- chairperson
- Educated at
- Lincoln's Inn
- Employer
- Lincoln's Inn
- Languages spoken
- English language
- Award
- Smith's Prize
- Academic degree
- Doctor of Science
- Doctoral advisor
- William Hopkins
- Doctoral student
- Charlotte Scott
- Field of work
- mathematics
- Image
- Arthur Cayley.jpg
- Residence
- Saint Petersburg
Show 11 more facts
- member of
- Accademia Nazionale dei Lincei
- Commons category
- Arthur Cayley
- date of birth
- 1821-08-16
- date of death
- 1895-01-26
- described by source
- Encyclopædia Britannica 11th edition
- Commons gallery
- Arthur Cayley
- name in native language
- Arthur Cayley
- Erdős number
- 3
- writing language
- English language
- maintained by WikiProject
- WikiProject Mathematics
- P8168
- Red-bellied squirrel
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Encyclopedic overview
Arthur Cayley (/ˈkeɪli/; 16 August 1821 – 26 January 1895) was an English mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.
He postulated what is now known as the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of an abstract group, a set with a binary operation satisfying certain laws, as opposed to Évariste Galois' concept of permutation groups. In group theory, Cayley tables, Cayley graphs, and Cayley's theorem are named in his honour, as well as Cayley's formula in combinatorics.
Excerpted from Wikipedia’s “Arthur Cayley” article, available under the CC BY-SA 4.0 licence.