Algebraic groups, defined by polynomial equations, are central to modern algebraic geometry and number theory, embodying symmetry in a wide range of mathematical structures. Their study intersects ...

Algebraic groups and Lie algebras form a fundamental cornerstone in contemporary mathematics, intertwining the geometric framework of algebraic varieties with the analytic structure of continuous ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence fH on H-fixed sets for all subgroups H of G is a G-homotopy ...

Professor Graham Higman (by Norman Blamey, 1984): he contributed both to finite and infinite group theory Professor Graham Higman, who has died aged 91, was Waynflete Professor of Pure Mathematics at ...