Marshall Hall (mathematician)
Marshall Hall Jr. | |
---|---|
Cambridge University Yale University | |
Known for | Group theory Combinatorics Hall's conjecture Hall multiplier Hall plane Hall-Janko group Planar ternary ring |
Scientific career | |
Fields | Abstract algebra |
Institutions | Yale University Ohio State University California Institute of Technology Emory University |
Thesis | An isomorphism between linear recurring sequences and algebraic rings (1936) |
Doctoral advisor | Øystein Ore |
Doctoral students | Robert Calderbank Donald Knuth Robert McEliece E. T. Parker |
Marshall Hall Jr. (17 September 1910 – 4 July 1990) was an American mathematician who made significant contributions to group theory and combinatorics.[1]
Education and career
Hall studied mathematics at
He worked in Naval Intelligence during World War II, including six months in 1944 at Bletchley Park, the center of British wartime code breaking. In 1946 he took a position at Ohio State University. In 1959 he moved to the California Institute of Technology where, in 1973, he was named the first IBM Professor at Caltech, the first named chair in mathematics. After retiring from Caltech in 1981, he accepted a post at Emory University in 1985.
Hall died in 1990 in London on his way to a conference to mark his 80th birthday.
Contributions
He wrote a number of papers of fundamental importance in group theory, including his solution of
His work in combinatorics includes an important paper of 1943 on projective planes, which for many years was one of the most cited mathematics research papers.[5] In this paper he constructed a family of non-Desarguesian planes which are known today as Hall planes. He also worked on block designs and coding theory.
His classic book on group theory was well received when it came out and is still useful today. His book Combinatorial Theory came out in a second edition in 1986, published by
He proposed
Publications
- 1943: "Projective Planes", doi:10.2307/1990331
- 1959: The Theory of Groups, Macmillan MR103215
- 1964: (with James K. Senior) The Groups of Order 2n n ≤ 6), MR168631
- Preface: "An exhaustive catalog of the 340 groups of order dividing 64 with detailed tables of defining relations, constants, and finite groups".
- Preface: "An exhaustive catalog of the 340 groups of order dividing 64 with detailed tables of defining relations, constants, and
- 1967: Combinatorial Theory, MR224481
Notes
- ^ Ohio State University Obituary says "immense contributions".
- ^ Hall 1989, pg. 367
- ^ Marshall Hall at the Mathematics Genealogy Project
- ^ Hall (1989) says that Ore was only his nominal advisor and that he was mostly given help and direction by Howard Engstrom.
- ^ Mathematics Department of Ohio State University Marshall Hall Jr. via Wayback Machine
References
- Hall, Marshall Jr. (1989), "Mathematical Biography: Marshall Hall Jr." (PDF), in Duran, Peter; Askey, Richard; ISBN 0-8218-0124-4
- MR 1071446