Upper bounds of homological invariants of $FI_G$-modules

Liping Li

Published 2015-12-18Version 1

In this paper we use a pure homological approach to obtain upper bounds for a few homological invariants of $FI_G$-modules $V$. These upper bounds are expressed in terms of the generating degree and torsion degree, which measure the top and socle of $V$ under actions of non-invertible morphisms in the category respectively.