A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
An amenable group with a nonsymmetric group algebra

1969
*
Bulletin of the American Mathematical Society
*

Let G be a discrete group, h(G) the group algebra of G. Symmetry of h(G) has been considered in [l], [3] . Groups containing a free subgroup on two or more generators are the only groups found to have nonsymmetric group algebras, and in each case the groups found to have symmetric algebras are in the family of amenable groups. In this note we present an example of an amenable group with a nonsymmetric group algebra. LEMMA 1. Let G be a group generated by a and b such that 5, the semigroup

doi:10.1090/s0002-9904-1969-12170-1
fatcat:fr6ldw74rfct5ne6uwtsvgrn74