9 lives in this collection worked in group theory, from 1811 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: number theory, linear algebra, algebra, algebraic geometry, combinatorics, complex analysis, representation theory. All fields
Founder of Galois theory, who linked the solvability of equations by radicals to the structure of their symmetry groups and introduced finite fields.
algebra, group theory, theory of equations
Prolific Victorian algebraist who founded matrix algebra, gave the first abstract definition of a group, and built classical invariant theory.
algebra, invariant theory, group theory
French mathematician whose Traité des substitutions (1870) founded group theory as a discipline, and who introduced the Jordan normal form, composition series, functions of bounded variation, Jordan content and the Jordan curve theorem.
group theory, linear algebra, analysis
Berlin algebraist who created the character theory of finite groups and left his name on results across linear algebra, differential equations and number theory.
group theory, representation theory, linear algebra
Geometer who defined geometry through transformation groups in the Erlangen Program, pioneered automorphic functions, and made Göttingen the world centre of mathematics.
geometry, group theory, complex analysis
Berlin algebraist who founded much of the representation theory of finite groups and of GL(n), and whose name is attached to results across algebra, combinatorics and analysis.
representation theory, group theory, linear algebra
Number theorist and matrix theorist who linked class field theory, integral matrices and eigenvalue localization, and made linear algebra a research field in its own right.
algebraic number theory, matrix theory, group theory
French mathematician who transformed algebraic topology, algebraic geometry and number theory, youngest Fields medallist and first Abel laureate.
algebraic topology, algebraic geometry, number theory
Creator of the theory of buildings, BN pairs and the Tits alternative, who recast the simple groups of Lie type as symmetries of geometries.
group theory, algebraic groups, incidence geometry