Group theory forms a cornerstone of modern algebra, providing a structured framework for analysing symmetries in mathematics, physics and beyond. A group is a set coupled with an operation that ...
Transactions of the American Mathematical Society, Vol. 364, No. 4 (APRIL 2012), pp. 1997-2019 (23 pages) Let G be a simple algebraic group over an algebraically closed field k of bad characteristic.
A closed expression for the number of unipotent conjugacy classes of a classical group G is given and Alperin's weight conjecture is confirmed for G globally and for a symplectic or odd-dimensional ...