Jonathan Lazare Alperin
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Jonathan Lazare Alperin (; born 1937) is an
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or A ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces ...

mathematician
specializing in the area of
algebra Algebra (from ar, الجبر, lit=reunion of broken parts, bonesetting, translit=al-jabr) is one of the areas of mathematics, broad areas of mathematics, together with number theory, geometry and mathematical analysis, analysis. In its most ge ...

algebra
known as
group theory In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers ( and ), formulas and related structures (), shapes and spaces in which they are contained (), and quantities and their changes ( and ). There is no ...
. He is notable for his work in group theory which has been cited over 500 times according to 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 ...
. The
Alperin–Brauer–Gorenstein theorem In mathematics, the Alperin–Brauer–Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathedA 2-group is wreathed if it is a nonabelian semidirect product of a maximal subgroup that is a direct product of groups, ...
is named after him.


Biography

Alperin attended school at
Princeton University Princeton University is a private Private or privates may refer to: Music * "In Private "In Private" was the third single in a row to be a charting success for United Kingdom, British singer Dusty Springfield, after an absence of nearly tw ...

Princeton University
and wrote his Ph.D. dissertation in 1961 "''On a Special Class of Regular p-Groups''" under the direction of
Graham Higman Graham Higman Fellow of the Royal Society, FRS (19 January 1917 – 8 April 2008) was a prominent English mathematician known for his contributions to group theory. Biography Higman was born in Louth, Lincolnshire and attended Sutton High S ...

Graham Higman
. He was awarded a
Guggenheim Fellowship Guggenheim Fellowships are grants Grant or Grants may refer to: Places *Grant County (disambiguation)Grant County may refer to: Places ;Australia * County of Grant, Victoria ;United States *Grant County, Arkansas *Grant County, Indiana * ...
in 1974. He has several times (1969, 1979, and 1983) been a visiting scholar at the
Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey Princeton is a municipality with a borough A borough is an administrative division in various English language, English-speaking countries. In principle, the term ...

Institute for Advanced Study
. 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 mathematics, mathematical research and scholarship, and serves the national and international community through its publicatio ...
.List of Fellows of the American Mathematical Society
retrieved 2012-11-03. Alperin is a professor at the
University of Chicago The University of Chicago (UChicago) is a private Private or privates may refer to: Music * "In Private "In Private" was the third single in a row to be a charting success for United Kingdom, British singer Dusty Springfield, after an abse ...
where he has had 22 students and 30
descendants Descendant(s) or descendent(s) may refer to: * Lineal descendant A lineal descendant, in legal usage, is a blood relative in the direct line of descent – the children Biologically, a child (plural children) is a human being between the st ...
. He has published over 60 papers and his work has been cited over 500 times. He is also known for his conjecture, , a topic of current research in
modular representation theory Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field (mathematics), field ''K'' of positive characteristic (algebra), characteristic ''p ...
, and for his work on the local control of fusion, , part of local group theory. In , the
Alperin–Brauer–Gorenstein theorem In mathematics, the Alperin–Brauer–Gorenstein theorem characterizes the finite simple groups with quasidihedral or wreathedA 2-group is wreathed if it is a nonabelian semidirect product of a maximal subgroup that is a direct product of groups, ...
was proven, giving the classification of
finite simple group In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and th ...
s with quasi-dihedral Sylow 2-subgroups.


Selected bibliography

* * * * *


References


External links

* Mathematical Reviews]
author profile
*
Home page at Chicago

Short biography
in the Notices of the AMS {{DEFAULTSORT:Alperin, J. L 20th-century American mathematicians 21st-century American mathematicians Group theorists Institute for Advanced Study visiting scholars University of Chicago faculty Princeton University alumni 1937 births Living people Fellows of the American Mathematical Society