Marshall Hall
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Most Influential Person Across History
American mathematician
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Mathematics
Why Is Marshall Hall Influential?
(Suggest an Edit or Addition)According to Wikipedia, Marshall Hall Jr. was an American mathematician who made significant contributions to group theory and combinatorics. Education and career Hall studied mathematics at Yale University, graduating in 1932. He studied for a year at Cambridge University under a Henry Fellowship working with G. H. Hardy. He returned to Yale to take his Ph.D. in 1936 under the supervision of Øystein Ore.
Marshall Hall 's Published Works
Published Works
- The Theory Of Groups (1959) (1947)
- Coset representations in free groups (1949) (236)
- The Groups of Order 2 n (n ≦6) (1965) (229)
- A basis for free Lie rings and higher commutators in free groups (1950) (216)
- Distinct representatives of subsets (1948) (214)
- A Topology for Free Groups and Related Groups (1950) (207)
- Subgroups of Finite Index in Free Groups (1949) (179)
- A problem in partitions (1941) (173)
- Copositive and completely positive quadratic forms (1963) (156)
- Codes and Designs (1981) (143)
- Proceedings of Symposia in Applied Mathematics. (1961) (105)
- An existence theorem for latin squares (1945) (99)
- On Integral Closure (1954) (94)
- Automorphisms of Steiner Triple Systems (1960) (91)
- Discovery of an Hadamard matrix of order 92 (1962) (78)
- A new construction for Hadamard matrices (1965) (68)
- An Embedding Theorem for Balanced Incomplete Block Designs (1954) (64)
- Solution of the Burnside problem for exponent six (1958) (64)
- An Algorithm for Distinct Representatives (1956) (63)
- The simple group of order 604,800 (1968) (60)
- The Imbedding Problem for Modular Lattices (1944) (58)
- Hadamard matrices of order 20 (1965) (54)
- A combinatorial problem on abelian groups (1952) (53)
- Cyclic Incidence Matrices (1951) (47)
- Groups Generated by a Class of Elements of Order 3. (1973) (44)
- Hadamard matrices of the Williamson type (1965) (39)
- Combinatorial Analysis and Computers (1965) (38)
- Uniqueness of the projective plane of order eight (1956) (37)
- Note on the Mathieu group M12 (1962) (36)
- Divisibility Sequences of Third Order (1936) (34)
- On the number of Sylow subgroups in a finite group (1967) (34)
- Designs derived from permutation groups (1970) (34)
- Planes of Order 10 Do Not Have a Collineation of Order 5 (1980) (33)
- Determination of Steiner triple systems of order 15 (1955) (32)
- Simple groups of order less than one million (1972) (29)
- The position of the radical in an algebra (1940) (28)
- Finite groups in which the centralizer of any non-identity element is nilpotent (1960) (28)
- An isomorphism between linear recurring sequences and algebraic rings (1938) (28)
- A Type of Algebraic Closure (1939) (27)
- Uniqueness of the projective plane with 57 points (1953) (23)
- Incidence axioms for affine geometry (1972) (21)
- On Schreier systems in free groups (1948) (20)
- A search for simple groups of order less than one million (1970) (19)
- Indices in cubic fields (1937) (19)
- Steiner Triple Systems with a Doubly Transitive Automorphism Group (1985) (18)
- Ovals in the Desarguesian plane of order 16 (1975) (18)
- On projective planes of order nine (1959) (17)
- Review: H. S. M. Coxeter and W. O. J. Moser, Generators and relations for discrete groups (1958) (16)
- Normal Completions of Incidence Matrices (1954) (16)
- The word problem for semigroups with two generators (1949) (15)
- Computers in Algebra and Number Theory (1971) (14)
- Semi-automorphisms of Hadamard matrices (1975) (14)
- Configurations in a Plane of Order Ten (1980) (14)
- Divisors of second-order sequences (1937) (14)
- Group Rings and Extensions. I (1938) (13)
- On a theorem of Jordan (1954) (13)
- Quadratic residues in factorization (1933) (12)
- Subgroups of free products. (1953) (11)
- Correction to “Projective planes.” (1949) (10)
- Finite Projective Planes (1955) (9)
- Correction to “Uniqueness of the projective plane with 57 points.” (1954) (9)
- Construction of Block Designs††This research was supported in part by ONR contract N00014-67-A0094-0010. (1973) (9)
- On designs (22, 33, 12, 8, 4) (1988) (9)
- Some Equations y2 = x3−k without Integer Solutions (1953) (8)
- ON THE EQUATION ax2+by2+cz2=0 (1948) (7)
- Notes on groups of exponent four (1973) (7)
- Coding theory, design theory, group theory : proceedings of the Marshall Hall Conference (1993) (6)
- On a Conjecture of R. H. Bruck (1984) (5)
- An identity in Jordan rings (1956) (5)
- Combinatorics, part 2: graph theory; foundations, partitions and combinatorial geometry (2nd rev. ed.) : proceedings of the advanced study institute, held at Nijenrode Castle, Breukelen, The Netherlands, 08-20.07.1974 (1974) (4)
- Group properties of Hadamard matrices (1976) (4)
- Nonexistence of Certain Planes of Order 10 and 12 (1973) (4)
- Finite Geometries and Designs: Coding theory of designs (1981) (3)
- VALIDATION OF MONOCYTE HLA-DR EXPRESSION LESS THAN 30% AS A MARKER OF IMMUNE PARALYSIS IN CHILDREN WITH MULTIPLE ORGAN DYSFUNCTION (1999) (2)
- Combinatorial Designs and Groups (1970) (2)
- Groups – St Andrews 1981: The Burnside group of exponent 5 with two generators (1982) (2)
- NONEXISTENCE OF A FINITE GROUP WITH A SPECIFIED 7-BLOCK (1976) (2)
- Ternary and Binary Codes for a Plane of Order 12 (1984) (2)
- Construction of designs from permutation groups (1969) (2)
- Lectures by Godfrey H. Hardy on the mathematical work of Ramanujan, fall term 1936 (1937) (2)
- Combinatorics : proceedings of the NATO Advanced Study Institute, held at Nijenrode Castle, Breukelen, The Netherlands, 8-20 July, 1974 (1975) (2)
- Review: A. G. Kurosch, Gruppentheorie (1955) (1)
- Equidistribution of residues in sequences (1938) (1)
- Slowly Increasing Arithmetic Series (1933) (1)
- Codes and Coverings: Recent Progress in Combinatorics . Proceedings of a conference, Waterloo, Ont., May 1968. W. T. Tutte, Ed. Academic Press, New York, 1969. xiv + 354 pp., illus. $16. (1970) (1)
- The Theory of Valuations. O. F. G. Schilling. NewYork: American Mathematical Society, 1950. 253pp. $6.00 (1951) (1)
- Combinatorics, part 1: theory of designs, finite geometry and coding theory (2nd rev. ed.) : proceedings of the advanced study institute, held at Nijenrode Castle, Breukelen, The Netherlands, 08-20.07.1974 (1974) (1)
- Construction of Designs (1990) (1)
- Book Review: Gruppentheorie (1955) (0)
- Codes and matrices in studies on designs (1989) (0)
- Combinatorics, part 3: combinatorial group theory (2nd rev. ed.) : proceedings of the advanced study institute, held at Nijenrode Castle, Breukelen, The Netherlands, 08-20.07.1974 (1974) (0)
- The Theory of Valuations . O. F. G. Schilling. New York: American Mathematical Society, 1950. 253 pp. $6.00. (1951) (0)
- Integral properties of combinatorial matrices (1978) (0)
- Designs and Coding Theory (1983) (0)
- New Applications of Algebra (1962) (0)
- Combinatorics: Proceedings of the Advanced Study Institute on Combinatorics held at Nijenrode Castle, Breukelen , the Netherlands, July 8-20, 1974 (1974) (0)
- 1960 Institute on Finite Groups : held at California Institute of Technology, Pasadena, California, August 1-August 28, 1960 (1962) (0)
- Some Aspects of Analysis and Probability. Vol. 4, Surveys in Applied Mathematics. (1960) (0)
- 1960 Institute on Finite Groups (1962) (0)
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