We show that any subgroup of a finitely generated virtually abelian group G grows rationally relative to G, that the set of right cosets of any subgroup of G grows rationally, and that the set of conjugacy classes of G grows rationally. These results hold regardless of the choice of finite weighted generating set for G.
|Journal||Illinois Journal of Mathematics|
|Early online date||19 Nov 2019|
|Publication status||Published - 1 Dec 2019|