Jonathan Lazare Alperin (; born 1937) is an

List of Fellows of the American Mathematical Society

retrieved 2012-11-03. Alperin is a professor at the

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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

American
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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 ...

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 ...

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 atPrinceton University
Princeton University is a private
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"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 ...

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 ...

. He was awarded a Guggenheim Fellowship
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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
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. 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 ...

.retrieved 2012-11-03. Alperin is a professor at the

University of Chicago
The University of Chicago (UChicago) is a private
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* "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
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. 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