Richard Bruck

Richard Hubert Bruck (born December 26, 1914 , † 1991 ) was an American mathematician who dealt with combinatorics.

Karl W. Gruenberg (center) with Kurt Hirsch (left) and Richard Bruck (right) 1960

Bruck studied in Toronto , where he received his doctorate in 1940. He was then a professor at the University of Wisconsin at Madison .

In 1949 he proved with Herbert Ryser ( The non existence of certain finite projective planes. Canadian Journal of Mathematics Vol. 1, 1949, pp. 88-92) the theorem of Bruck-Ryser-Chowla about possible orders n finite projective planes (from Ryser and Sarvadaman Chowla 1950 expanded to other symmetrical block plans ). So far it has remained the only general result that restricts the possible projective finite planes: let n = 1 or 2 mod 4, then there is no such plane if not for whole k, m. ${\displaystyle n=k^{2}+m^{2}}$

In 1951 he introduced finite networks.

In 1946/7 he was a Guggenheim Fellow and in 1963 a Fulbright Lecturer at the University of Canberra . In 1956 he received the Chauvenet Prize for Recent Advances in the foundations of Euclidean Plane Geometry (American Mathematical Monthly 1955). In 1962 he gave a lecture at the International Congress of Mathematicians in Stockholm ( On the completion of finite partial planes ).

Fonts

• Survey of binary systems, results of mathematics and their border areas, Springer 1958, 3rd edition 1971

Web links

• Biography at the University of Texas
• Bruck-Ryser-Chowla theorem at Mathworld

Individual evidence

1. ^ Proof z. B. Marshall Hall: Theory of Groups. 1959, p. 394. Bruck-Chowla-Ryser theorem proof z. B. Jacobs, Jungnickel: Introduction to combinatorics. 2004, the latter with the more recent evidence from Ryser, Hanfried Lenz from the 1980s.