%0 Journal Article %T G-Fano threefolds, I %A Yuri Prokhorov %J Mathematics %D 2010 %I arXiv %R 10.1515/advgeom-2013-0008 %X We classify Fano threefolds with only terminal singularities whose canonical class is Cartier and divisible by 2, and satisfying an additional assumption that the $G$-invariant part of the Weil divisor class group is of rank 1 with respect to an action of some group $G$. In particular, we find a lot of examples of Fano 3-folds with "many" symmetries. %U http://arxiv.org/abs/1012.4959v3