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From Groupprops

This article is about a American group theorist (a American person working in group theory)

This article is about a person who is alive

This person is currently working at: University of Chicago

Contents 1 Life 1.1 Professional life 2 Work 2.1 Local representation theory 3 Contemporaries 3.1 Advisor 3.2 Collaborators 4 Students 5 External links

Life

Professional life

• 1959: Received A.B. from Harvard University
• 1960: Received A.M. from Princeton University
• 1961: Received Ph.D. from Princeton University
• 1961-62: Postdoctoral fellow at Oxford University
• 1962-63: C.L.E. Moore instructor at Massachussetts Institute of Technology
• 1963-66: Assistant Professor at University of Chicago
• 1966-70: Associate Professor at University of Chicago
• 1970 onwards: Professor at University of Chicago

Work

Local representation theory

Alperin has contributed significantly to local representation theory and modular representation theory, which deal with the representation of a group in a characteristic dividing the order of the group.

Conjectures due to Alperin:

• Alperin weight conjecture
• Alperin-McKay conjecture

Principles and general ideas due to Alperin:

• Lie principle relating subgroups in a general finite group to subgroups in a finite group of Lie type

Contemporaries

Advisor

Jon Alperin's advisor was Graham Higman.

Collaborators

• George Glauberman
• Markus Linckelmann
• Geoffrey Mason
• Daniel Gorenstein
• Paul Fong

Students

External links

• Jon Alperin's homepage