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