George Glauberman

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.[1] He obtained his Ph.D. degree from the University of Wisconsin–Madison in 1965, under the supervision of Richard Bruck.[2] 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.[3]

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

References

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