Geodesic
Grothendieck group for the stable category
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 5-12
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In this paper we describe Cartan matrices of symmetric special biserial algebras and compute the order of Grothendieck group for the stable category of these algebras. In particular, we obtain a criterion for existence of a free summand in these groups. 
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M. A. Antipov. Grothendieck group for the stable category. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 5-12. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a0/

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