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Mathematics Colloquium

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Date:  Tuesday, March 29, 2011

Title:  Distinguishing residually finite groups by their finite quotients

Abstract:  By definition, a residually finite group has a large supply of finite quotient groups. A natural question is to what extent this collection of finite quotients "determines" the group. For example, an old, and basic question is, if G is a residually finite group with the same collection of finite quotient groups as a free group F of rank r, is G isomorphic to F? This talk will discuss this question for various classes of groups G as well as some other related questions.


Speaker:  Alan Reid
Institution:  Univ of Texas, Austin

 

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