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 
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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     title = {Grothendieck group for the stable category},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a0/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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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