Introduction
George Glauberman (born March 3, 1941, New York City) is a mathematician at the University of Chicago who works on finite simple groups. He proved the ZJ theorem and the Z* theorem.
Glauberman did his undergraduate studies at the Polytechnic Institute of Brooklyn, graduating in 1961, and earned a master's degree from Harvard University in 1962. He obtained his Ph.D. degree from the University of Wisconsin–Madison in 1965, under the supervision of Richard Bruck. He has had 22 Ph.D. students, including Ahmed Chalabi and Peter Landrock, the president and founder of Cryptomathic. He has co-authored with J. L. Alperin, Simon P. Norton, and Zvi Arad.
In 1970 he was an invited speaker at the International Congress of Mathematicians at Nice. In 2012 he became a fellow of the American Mathematical Society.
Selected publications
- Glauberman, George (1964), "On loops of odd order", Journal of Algebra, 1: 374–396, doi:10.1016/0021-8693(64)90017-1, ISSN 0021-8693, MR 0175991
- Glauberman, George (1966), "Central elements in core-free groups", Journal of Algebra, 4: 403–420, doi:10.1016/0021-8693(66)90030-5, ISSN 0021-8693, MR 0202822, Zbl 0145.02802
- Glauberman, George (1968), "A characteristic subgroup of a p-stable group", Canadian Journal of Mathematics, 20: 1101–1135, doi:10.4153/cjm-1968-107-2, ISSN 0008-414X, MR 0230807
- Glauberman, George (1968), "Correspondences of characters for relatively prime operator groups.", Canadian Journal of Mathematics, 20: 1465–1488, doi:10.4153/cjm-1968-148-x, ISSN 0008-414X, MR 0232866
- Glauberman, George (1968), "On loops of odd order. II", Journal of Algebra, 8: 393–414, doi:10.1016/0021-8693(68)90050-1, ISSN 0021-8693, MR 0222198
- Bender, Helmut; Glauberman, George (1994), Local analysis for the odd order theorem, London Mathematical Society Lecture Note Series, 188, Cambridge University Press, ISBN 978-0-521-45716-3, MR 1311244