William Burnside | Academic Influence

William Burnside's AcademicInfluence.com Rankings

William Burnside

Mathematics

#1369

Historical Rank

Algebra

#95

Historical Rank

Measure Theory

#1340

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is William Burnside Influential?

(Suggest an Edit or Addition)

According to Wikipedia, This English mathematician is sometimes confused with the Irish mathematician William S. Burnside . William Burnside was an English mathematician. He is known mostly as an early researcher in the theory of finite groups.

(See a Problem?)

William Burnside's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Theory of Functions (1899) (1636)
Theory of Groups of Finite Order (966)
Theory of Functions of a Complex Variable (1893) (786)
Theory of equations (417)
On a Class of Automorphic Functions (1891) (85)
On some Properties of Groups of Odd Order (1900) (63)
On Some Properties of Groups Whose Orders are Powers of Primes (63)
On the Condition of Reducibility of any Group of Linear Substituions (56)
On Groups of Order pαqβ (43)
On Criteria for the Finiteness of the Order of a Group of linear Substituions (32)
On the Outer Isomorphisms of a Group (31)
Further Note on Automorphic Functions (1891) (25)
On Groups in which every two Conjugate Operations are Permutable (1902) (21)
On Functions determined from their Discontinuities and a certain form of Boundary Condition (1890) (20)
Notes on the Theory of Groups of Finite Order (1893) (19)
An Introduction to the Theory of Groups of Finite Order (1908) (18)
On Periodic Irrotational Waves at the Surface of Deep Water (18)
On the Modification of A Train of Waves as It Advances Into Shallow Water (18)
Introduction to the Theory of Analytic Functions (1899) (17)
On an Arithmetical Theorem Connected with Roots of Unity, and its Application to Group‐Characteristics* (15)
On Groups of Order pαqβ (Second Paper) (13)
Note on the Symmetric Group (1896) (9)
On the Small Wave‐Motions of a Heterogeneous Fluid under Gravity (1888) (9)
Note on the Equation y2 = x (x4−1 (1892) (8)
On a Class of Groups defined by Congruences (1893) (8)
On the Continuous Group that is defined by any given Group of Finite Order (1897) (7)
The Determination of all Groups of Rational Linear Substitutions of Finite Order which Contain the Symmetric Group in the Variables (7)
Octonions; a Development of Clifford's Bi-quaternions (1899) (6)
On a Problem of Conformal Representation (1892) (6)
On the Rational Solutions of the Equation X3 + Y3 + Z3 = 0 In Quadratic Fields (6)
On the idea of frequency (1925) (5)
On the Arithmetical Nature of the Coefficients in a Group of Linear Substitutions: (Thrid Paper) (5)
On some Properties of Groups of Odd Order. (Second Paper.) (1900) (5)
Note on the simple group of order 504 (1899) (5)
On the simple group of order 25920 (1906) (5)
On Groups which are Linear and Homogeneous in both Variables and Parameters (1902) (3)
On the Complete Reduction of any Transitive Permutation - Group; and on the Arithmetical Nature of the Coefficients in its Irreducible Components (3)
On soluble irreducible groups of linear substitutions in a prime number of variables (1903) (3)
On Group‐Characteristics (1900) (3)
On the Representation of a Group of Finite Order as a Permutation Group, and on the Composition of Permutation Groups (1901) (3)
Researches into the chemical constitution of the opium bases. — Part IV. On the action of chloride of zinc on codeia (3)
On the Continuous Group that is defined by any given Group of Finite Order. (Second Paper) (1897) (3)
On the Form of Hyperelliptic Integrals of the First Order, which are expressible as the Sum of two Elliptic Integrals (1891) (3)
On the Reduction of a Linear Substitution to its Canonical Form (1898) (3)
On Cyclotomic Quinquisection (3)
On the reduction of a group of homogeneous linear substitutions of finite order (1904) (3)
On the Representation of a Group of Finite Order as an Irreducible Group of Linear Substitutions and the Direct Establishment of the Relations Between the Group-Characteristics (2)
On the Hessian Configuration and its Connection with the Group of 360 Plane Collineations (2)
On a Class of Groups defined by Congruences. (Second Paper.) (1894) (2)
On Transitive Groups of degree n and class n−1 (2)
On Groups of Linear Substitutions of Finite Order which Possess Quadratic Invariants (2)
On the Efficiency of a Surface of Pressure Discontinuity Regarded as a Propeller (1)
On the Isomorphism of a Group with itself (1895) (1)
On a group of order 25920 and the projective transformations of a cubic surface (1927) (1)
XXII.—On the Partition of Energy between the Translatory and Rotational Motions of a Set of Non-Homogeneous Elastic Spheres (1888) (1)
On Linear Homogeneous Continuous Groups whose Operations are Permutable (1897) (1)
On the Kinematics of non‐Euclidean Space (1894) (1)
On the phrase “equally probable.” (1925) (1)
On A Configuration of 21 Points and 21 Lines Which Arises From the Complete Quadrilateral and Determines the Group of 168 Plane Collineations (0)
On the Arithmetical Nature of the Coefficients in a Group of Linear Substitutions of Finite Order (Second Paper) (0)
On a group of 1440 birational transformations of four variables that arises in considering the projective equivalence of double sixes (1926) (0)
Art. 141: Multiplication of determinants. Prop. VIII (0)
Appendix: Applications to coordinate geometry (0)
On a certain Riemann's Surface (1890) (0)
Art. 136: Development of a determinant in products of leading constituents (0)
On the four rotations which displace one orthogonal system of axes into another (1902) (0)
The Construction of the Straight Line joining Two Given Points (1897) (0)
An Introduction to Determinants, Being a Chapter from the Theory of Equations (0)
Art. 147: Symmetrical determinants (0)
Art. 139-140: Prop. VI. and prop. VII (0)
Art. 148: Skew-symmetric and skew determinants (0)
On the Composition of Group-Characteristics (1901) (0)
Art. 149: Theorem relating to a determinant whose leading first minor vanishes (0)
Art. 142: Second proof of prop. VIII (0)
Art. 134: Development of determinants (0)
Art. 129-132: Elementary propositions relating to determinants. Props.I-IV (0)
Appendix: Applications to trigonometry (0)
Art. 135: Laplace's development of determinants (0)
Art. 127: Elementary notions and definitions (0)
Art. 144: Solution of a system of linear equations (0)
Art. 133: Minor determinants. Definitions (0)
Group Theory: 1-3 (1904) (0)
On Green's Function for a System of non‐Intersecting Spheres (1893) (0)
Art. 145: Linear homogeneous equations (0)
Notes on the Theory of Groups of Finite Order (continued) (1894) (0)
On the Polygons Inscribed in one Conic and Circumscribed to Another (1924) (0)
Art. 146: Reciprocal determinants (0)
Art. 128: Rule with regard to signs (0)
Art. 137: Expansion of a determinant in products in pairs of the constituents of a row and column (0)
On the Representation of a Group of Finite Order as a Group of Linear Substitutions with Rational Coefficients (0)
On the representation of the modular group of order ½p (p2 – 1) as a group of linear substitutions on ½ (p – 1) symbols, ichen p is a prime of the form 4n + 3 (1925) (0)
Art. 143: Rectangular arrays (0)
On groups of linear substitutions which contain irreducible metacyclical subgroups (1925) (0)

This paper list is powered by the following services:

Other Resources About William Burnside

en.wikipedia.org

What Schools Are Affiliated With William Burnside?

William Burnside is affiliated with the following schools:

University of Cambridge

Image Attributions

Image Source for William Burnside