University of Texas, Dolph Briscoe Center for American History

A Guide to the Richard Hubert Bruck Papers, 1953-1984



Descriptive Summary

Creator Bruck, Richard Hubert
Title Richard Hubert Bruck Papers
Dates: 1953-1984
Abstract Dr. Richard Hubert Bruck received his Ph.D. in mathematics from the University of Toronto in 1940 and continued his career as a professor at the University of Wisconsin-Madison, serving as advisor to 31 students. These papers include research notes, correspondence, lecture notes and other material primarily covering the Burnside problem and its relatives or finite geometries.
Accession No. 96-327
Extent 4 ft.
Language Material is written in English.
Repository Dolph Briscoe Center for American History, The University of Texas at Austin

Biographical Note

Richard Hubert Bruck (1914-1991) received his Ph.D. in mathematics from the University of Toronto in 1940 and continued his career as a professor at the University of Wisconsin-Madison, serving as advisor to 31 students. Bruck was a 1946-1947 Guggenheim Fellow of Mathematics and a 1963 Fulbright Lecturer in Canberra, Australia. In 1951 Bruck collaborated with H. J. Ryser to prove the Bruck-Ryser Theorem, now known as the Bruck-Ryser-Chowla Theorem, which is the only general nonexistence theorem for finite projective planes to date. He also introduced finite nets in 1951 and in 1956 was awarded the Mathematical Association of America’s Chauvenet Prize for his article entitled “Recent Advances in the foundations of Euclidean Plane Geometry,” which had been published the previous year in American Mathematical Monthly.


Scope and Contents

Branch files and research notes make up the bulk of this collection along with lecture notes, correspondence and publications. Papers in the collection primarily relate to the Burnside problem and its relatives along with finite geometries. Of note is the Luxembourg correspondence folder, which contains Bruck family history, written by Bruck, as well as Bruck’s listing included in Who’s Who in America, 1968-1969.

Forms part of the Archives of American Mathematics.


Restrictions

Access Restrictions

Unrestricted access.

Use Restrictions

This collection is stored remotely at LSF and CDL. Advance notice required for retrieval. Contact repository for retrieval.


Index Terms

Bruck, Richard Hubert.
Burnside problem.
Topology
University of Wisconsin-Madison. Mathematics Dept.

Administrative Information

Preferred Citation

Richard Hubert Bruck Papers, 1953-1984, Archives of American Mathematics, Dolph Briscoe Center for American History, University of Texas at Austin.

Processing Information

Bruck's original file titles were retained when possible. File titles created by the archivist are enclosed in square brackets.

Revisions to the finding aid were made by Nikki Thomas, May 2005; and by Elliot Williams, November 2012.


Detailed Description of the Collection

 

Branch files:

Box
96-327/1 (04991858) Gauss' method for the number of solutions of certain equations in a finite field, 1953-1954 and undated
Odd bits on spreads, 1969? and undated
Combinatorial mathematics lectures, December 2-4, 1969
The number of solutions of certain equations in a finite field, 1953-1957 and undated
Various notes on printed material, 1967-1969 and undated
Planes, 1965-1966
Quasi-regular collineation groups of finite projective planes, March 10, 1973 and undated
Projective planes, 1970-1971 and undated
Box
96-327/4 (CDL) Projective planes, 1978 and undated
Box
96-327/1 (04991858) [Projective planes], loose sheets, undated
Geometry, undated
[Polynomials], undated
[Spreads of PG], 1966 and undated
"What Makes a Group Finite?," working copy, undated
"Not a good method, but save!," unfoldered, undated
[Power Series], undated
Cubic Surfaces, 1974
Some unique factors of a matrix, second draft, 1982 and undated
Binomial matrices, undated
Correspondence:
Luxembourg, 1968-1969 and undated
H. S. M. Coxeter, 1970
A-Maps, 1965
Research notes:
“Attempt to find a spread of PG (3, q) with a ‘nice’ group of collineations,” 1967?
A problem in Galois Theory: class notes, April, 1972
Odd bits on fields, 1968-1969? and undated
K-points of a plane of order 10, undated
A factoring problem, May 1980
Elementary factoring and applications of the Möbius function, March 1980
Projective planes, mostly material for Sue Whitesides, ca. 1973 and undated
Finite cyclic projective planes, undated
[Double-points and triple-points], undated
Carter's graphs and a study of the arcs in a projective plane of order 10, undated
Problems of constructive in finite projective 5-Space, 1967 and undated
Lectures in geometry, 1968-1969
Finite projective planes, 1982-1984 and undated
Some p-groups associated with symmetric groups, 1979
Box
96-327/2 (04991869) Groups of an elegant theory of direct decomposition, 1971
A numerical invariant for finite nets, undated
[Finite p-groups], undated
Some unique factors of a matrix, 1982-1983 and undated
Recent advances in the foundations of Euclidean plane geometry, 1954-1955 and undated
Projective planes with transitive collineation groups, 1952-1953 and undated
Functions of the antimorphism group of a group, undated
[Embedding of PG (1, F) as a conic in PG (2, F)], undated
Conjugate harmonics, 1977-1978
Factoring over a finite field, manuscript, 1981
An aid to history: Pell's Equation, Euler, LaGrange, 1980-1981?
Notes for Alan Prince, August, 1982
Galois groups of degree five, 1980 and undated
The number of words in the binary code of a projective plane of order 10 which can be generated by at most 9 lines, undated
[Odd bits on projective planes], undated
Factoring Over a finite field, miscellaneous notes, 1981 and undated
A variation of Berlekamp's factoring algorithm, undated
Box
96-327/4 (CDL) Spreads and packings of finite projective 3-space, 1963-1964
Spreads and packings of PG (3, 22), 1963-1964 and undated
Box
96-327/2 (04991869) Enriched cliques with six vertices, undated
Engel Conditions (Burnside Problem):
Ricardo Quintana, undated
On groups whose generators are subgroup generators, 1961-1962 and undated
Burnside groups, 1949-1959 and undated
[Groups of exponents], 1962-1963
Burnside problem, 1958-1960 and undated
Box
96-327/3 (04991880) The results of Sanov on Engel Conditions, undated
Box
96-327/4 (CDL) Engel Conditions in groups and related questions, 1962-1963 and undated
Report on the Third Summer Research Institute of the Australian Mathematical Society, 1963
Box
96-327/3 (04991880) Notes on groups, 1953-1958 and undated
Groups of exponent 4 (Burnside Problem), 1959-1960 and undated
Notes on the Ceua-Menelaus Theorem and the Conic Theorem, 1979
Enriched cliques with six vertices, 1977



 

Publications:

Box
96-327/3 (04991880) "Computational Aspects of Certain Combinatorial Problems," undated
"Normal Endomorphisms," 1960
"On the Restricted Burnside Problem," 1962
"Some Theorems on Moufang Problems," 1960