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In 1985 K. Satio [Sal] introduced the concept of an extended
affine Weyl group (EAWG), the Weyl group of an extended affine
root system (EARS). In [A2, Section 5], we gave a presentation
called ``a presentation by conjugation" for the class of EAWGs of
index zero, a subclass of EAWGs. In this paper we will give a
presentation which we call a ``generalized presentation by
conjugation" for the class of reduced EAWGs. If the extended
affine Weyl group is of index zero this presentation reduce to ``a
presentation by conjugation". Our main result states that when the
nullity of the EARS is 2, these two presentation coincide that is,
EAWGs of nullity 2 have ``a presentation by conjugation". In [ST]
another presentation for EAWGs of nullity 2 is given.
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