Given a group , embed in a larger group such that any automorphism of is the restriction of an inner automorphism of .

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# Outside in

# Too complex to be true but too symmetrical to be false

# Squaring the circle

# Spooky algebra II

# It’s counting time

# [Some punny title about determinants and fixed points]

# A two-liner

Given a group , embed in a larger group such that any automorphism of is the restriction of an inner automorphism of .

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For , let be a complex domain and let . Let be a complex Brownian motion starting from . Set .

Suppose that there exists a conformal isomorphism such that . Set and define for

and .

Then and have the same distribution.

Is there a bijection of the plane sending every circle to a square?

Exhibit a group , a set of generators for and a subgroup such that for all and yet is not normal in .

What is the number of idempotent functions ?

Prove the following identity

the sum running through and the matrix being of size .

Is there a ring such that there are two different ring injections ?