George Glauberman is a
mathematicianA mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
at the
University of ChicagoThe University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
who works on finite simple groups. He proved the
ZJ theoremIn mathematics, George Glauberman's ZJ theorem states that if a finite group G is p-constrained and p-stable and has a normal p-subgroup for some odd prime p, then Op′Z is a normal subgroup of G, for any Sylow p-subgroup S.-Notation and definitions:*J is the Thompson subgroup of a p-group S:...
and the Z
* theorem.
He obtained his
Ph.D.A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
degree from the
University of Wisconsin–MadisonThe University of Wisconsin–Madison is a public research university located in Madison, Wisconsin, United States. Founded in 1848, UW–Madison is the flagship campus of the University of Wisconsin System. It became a land-grant institution in 1866...
in 1965, under the supervision of Richard Bruck. He has had 21 Ph.D. students, including
Ahmed ChalabiAhmed Abdel Hadi Chalabi is an Iraqi politician. He was interim oil minister in Iraq in April-May 2005 and December-January 2006 and deputy prime minister from May 2005 until May 2006. Chalabi failed to win a seat in parliament in the December 2005 elections, and when the new Iraqi cabinet was...
. He has co-authored with J. L. Alperin,
Simon P. NortonSimon Phillips Norton is a mathematician in Cambridge, England, who works on finite simple groups. He constructed the Harada–Norton group, and in 1979 together with John Conway proved there is a connection between the Monster group and the j-function in number theory. They dubbed this monstrous...
, and
Zvi AradProfessor Zvi Arad is an Israeli mathematician and president of Netanya Academic College.-Biography:Subsequent to the completion of his high school education he began his academic studies in the Mathematics Department of Bar-Ilan University...
.