Descriptive Summary
Bruck, Richard
Hubert
Richard Hubert Bruck
Papers
1953-1984
96-327
4 ft.
Dolph Briscoe Center for American History,
The University of Texas at Austin
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.
Material is written in English.
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.

Access Restrictions
Unrestricted access.

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

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

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