Mathematics – Representation Theory
Scientific paper
2011-10-05
Mathematics
Representation Theory
4 pages
Scientific paper
Zuk's criterion give us a condition for a finitely generated group to have
Property(T): the smallest non - zero eigenvalue of Laplace operator
corresponding to the simple random walk on the associated graph have to be
greater than 1/2. We present here two examples that prove that this condition
cannot be improved.
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