**Selected Lectures**

1994;

MSC: Primary 55;

**Print ISBN: 978-0-8218-8091-3
Product Code: VIDEO/93**

List Price: $54.95

AMS Member Price: $43.96

# In Search of Symmetry

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*William Browder*

William Browder served as President of the
American Mathematical Society during 1990–1991. This videotape
contains his Retiring Presidential Address—which combined short
remarks about his presidency with a mathematical lecture—preceded
by an informal interview in which he discusses a range of topics,
including public awareness of mathematics and his interest in
music.

The lecture discusses the action of finite groups on manifolds,
exploring the question of how large a finite group can effectively act
on a given manifold (here, “effectively” means that there
is no subgroup that fixes everything). A related question is, what
kind of spaces have the given manifold as a covering space? Beginning
with the historical roots of these questions, Browder concentrates on
familiar examples such as the sphere, the \(n\)-sphere, or a
product of spheres of different dimensions.

The lecture is accessible to mathematics majors with background in
algebraic topology. The interview segment provides a fine complement
to the lecture.