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Jordan, Camilla R.
(1980).
DOI: https://doi.org/10.1017/S0017089500004092
Abstract
Let be the free product of the groups
and
amalgamating the proper subgroup
and let
be a ring with 1. If
is finite and
is not finitely generated we show that any non-zero ideal
of
intersects non-trivially with the group ring
, where
is a subgroup of
which is a free product amalgamating a finite normal subgroup. This result compares with A. I. Lichtman's results in [6] but is not a direct generalisation of these.