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math.GR2003★ 2 cited
Navigating the Cayley graph of SL(2,Z/pZ)
Michael Larsen
This paper describes a non-deterministic polynomial-time algorithm to find a path of length O(log p loglog p) between any two vertices of the Cayley graph of SL(2,Z/pZ).
math.GR2002
Word maps have large image
Michael Larsen
An element w in the free group on r letters defines a map f from G^r to G for each group G. In this note, we show that whenever w is non-trivial and G is a semisimple algebraic gro…