George Glauberman
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George Isaac Glauberman (born 1941) is a
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
at the
University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...
who works on
finite simple group Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked ...
s. He proved the
ZJ theorem In 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 ''O'p''′(''G'')''Z''(''J''(''S'')) is a normal subgroup ...
and the Z* theorem. Born in
New York City New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the L ...
on March 3, 1941, Glauberman did his undergraduate studies at the
Polytechnic Institute of Brooklyn The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United Sta ...
, graduating in 1961, and earned a master's degree from
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
in 1962. He obtained his PhD degree from the
University of Wisconsin–Madison A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
in 1965, under the supervision of
Richard Bruck Richard Hubert Bruck (December 26, 1914 – December 18, 1991) was an American mathematician best known for his work in the field of algebra, especially in its relation to projective geometry and combinatorics. Bruck studied at the University of ...
. He has had 22 PhD students, including
Ahmed Chalabi Ahmed Abdel Hadi Chalabi ( ar, أحمد عبد الهادي الجلبي; 30 October 1945 – 3 November 2015) was an Iraqi politician, a founder of the Iraqi National Congress (INC) who served as the President of the Governing Council of ...
and
Peter Landrock Peter Landrock (born August 20, 1948 in Horsens) is a Danish cryptographer and mathematician. He is known for his contributions to data encryption methods and codes. Landrock has been active since the 1970s as research scientist and faculty mem ...
, the president and founder of
Cryptomathic Cryptomathic is a software company specializing in the area of cryptography for e-commerce security systems. The company develops secure software for the financial and governmental industries. It focuses especially on developing back-end solution ...
. He has co-authored with J. L. Alperin,
Simon P. Norton Simon Phillips Norton (28 February 1952 – 14 February 2019)
,
Zvi Arad Zvi Arad ( he, צבי ארד,16 April 1942, in Petah Tikva, Mandatory Palestine – 4 February 2018, in Petah Tikva, Israel) was an Israeli mathematician, acting president of Bar-Ilan University, and president of Netanya Academic College. Biograp ...
, and Justin Lynd. In 1970 he was an
invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...
at
Nice Nice ( , ; Niçard: , classical norm, or , nonstandard, ; it, Nizza ; lij, Nissa; grc, Νίκαια; la, Nicaea) is the prefecture of the Alpes-Maritimes department in France. The Nice agglomeration extends far beyond the administrative c ...
. In 2012 he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.List of Fellows of the American Mathematical Society
retrieved 2013-01-19.


Selected publications

* * * * * *


See also

*
Glauberman normal p-complement theorem In mathematical group theory, a normal p-complement of a finite group for a prime ''p'' is a normal subgroup of order coprime to ''p'' and index a power of ''p''. In other words the group is a semidirect product of the normal ''p''-complement and an ...


References


External links


Home page of George Glauberman
at the
Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also pu ...
{{DEFAULTSORT:Glauberman, George 20th-century American mathematicians 21st-century American mathematicians Group theorists Polytechnic Institute of New York University alumni Harvard University alumni University of Wisconsin–Madison alumni University of Chicago faculty Fellows of the American Mathematical Society Scientists from New York City 1941 births Living people Mathematicians from New York (state)