We exhibit a class of commutative rings that can in a unique 'maximal' way be written as group rings of finite abelian groups. This is joint work with Alice Silverberg.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5312