A Guide to the Richard Hubert Bruck Papers,
19531984





Creator 
Bruck, Richard
Hubert 

Title 
Richard Hubert Bruck
Papers 

Dates: 
19531984 

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 WisconsinMadison,
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. 
96327 

Extent 
4 ft. 

Language 
Material is written in English. 

Repository 
Dolph Briscoe Center for American History,
The University of Texas at Austin 
Richard Hubert Bruck (19141991) received his Ph.D. in mathematics from
the University of Toronto in 1940 and continued his career as a professor at
the University of WisconsinMadison, serving as advisor to 31 students. Bruck
was a 19461947 Guggenheim Fellow of Mathematics and a 1963 Fulbright Lecturer
in Canberra, Australia. In 1951 Bruck collaborated with H. J. Ryser to prove
the BruckRyser Theorem, now known as the BruckRyserChowla 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.
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, 19681969.
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.








Bruck, Richard Hubert. 


Burnside problem. 


Topology 


University of
WisconsinMadison. Mathematics Dept. 
Richard Hubert Bruck Papers, 19531984, 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.
Detailed Description of the Collection















Branch files: 
Box 
96327/1 (04991858) 


Gauss' method for the number of solutions of certain
equations in a finite field,
19531954 and undated 



Odd bits on spreads, 1969? and undated 



Combinatorial mathematics lectures,
December 24, 1969 



The number of solutions of certain equations in a finite
field,
19531957 and undated 



Various notes on printed material,
19671969 and undated 



Planes,
19651966 



Quasiregular collineation groups of finite projective
planes,
March 10, 1973 and undated 



Projective planes,
19701971 and undated 
Box 
96327/4 (CDL) 


Projective planes,
1978 and undated 
Box 
96327/1 (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,
19681969 and undated 




H. S. M. Coxeter,
1970 




AMaps,
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,
19681969? and undated 




Kpoints 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 




[Doublepoints and triplepoints],
undated 




Carter's graphs and a study of the arcs in a projective
plane of order 10,
undated 




Problems of constructive in finite projective 5Space,
1967 and undated 




Lectures in geometry,
19681969 




Finite projective planes,
19821984 and undated 




Some pgroups associated with symmetric groups,
1979 
Box 
96327/2 (04991869) 



Groups of an elegant theory of direct decomposition,
1971 




A numerical invariant for finite nets,
undated 




[Finite pgroups],
undated 




Some unique factors of a matrix,
19821983 and undated 




Recent advances in the foundations of Euclidean plane
geometry,
19541955 and undated 




Projective planes with transitive collineation groups,
19521953 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,
19771978 




Factoring over a finite field, manuscript,
1981 




An aid to history: Pell's Equation, Euler, LaGrange,
19801981? 




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 
96327/4 (CDL) 



Spreads and packings of finite projective 3space,
19631964 




Spreads and packings of PG (3, 22),
19631964 and undated 
Box 
96327/2 (04991869) 



Enriched cliques with six vertices,
undated 



Engel Conditions (Burnside Problem): 




Ricardo Quintana,
undated 




On groups whose generators are subgroup generators,
19611962 and undated 




Burnside groups,
19491959 and undated 




[Groups of exponents],
19621963 




Burnside problem,
19581960 and undated 
Box 
96327/3 (04991880) 



The results of Sanov on Engel Conditions,
undated 
Box 
96327/4 (CDL) 


Engel Conditions in groups and related questions,
19621963 and undated 



Report on the Third Summer Research Institute of the
Australian Mathematical Society,
1963 
Box 
96327/3 (04991880) 


Notes on groups,
19531958 and undated 



Groups of exponent 4 (Burnside Problem),
19591960 and undated 



Notes on the CeuaMenelaus Theorem and the Conic Theorem,
1979 



Enriched cliques with six vertices,
1977 















Publications: 
Box 
96327/3 (04991880) 


"Computational Aspects of Certain Combinatorial Problems,"
undated 



"Normal Endomorphisms,"
1960 



"On the Restricted Burnside Problem,"
1962 



"Some Theorems on Moufang Problems,"
1960 
