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" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...

mathematician specializing in the area of algebra known as group theory. 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 is named after him.

Biography

Alperin attended school at Princeton University and wrote his Ph.D. dissertation in 1961 "''On a Special Class of Regular p-Groups''" under the direction of Graham Higman. He was awarded a

Guggenheim Fellowship Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...

in 1974. He has several times (1969, 1979, and 1983) been a visiting scholar at the Institute for Advanced Study. In 2012 he became a fellow of the American Mathematical Society.List of Fellows of the American Mathematical Society
retrieved 2012-11-03. Alperin was a professor at the University of Chicago. 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, and for his work on the local control of fusion, , part of local group theory. In , the Alperin–Brauer–Gorenstein theorem was proven, giving the classification of finite simple groups with quasi-dihedral Sylow 2-subgroups.

Selected bibliography

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References

External links

br>author profile
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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