Abstract
In this paper, we study the Grothendieck groups of m-cluster categories of type Dn, denoted by , when m is odd, via the m-cluster tilting subcategories of
. When m = 1, we generalize the work of Barot, Kussin and Lenzing for studying the Grothendieck groups of cluster categories of type Dn.
Acknowledgments
We would like to thank the referees for their helpful comments and suggestions.