What the fallout of the recent combats in Grozny says about relationship between Putin and Kadyrov

The Russian media has provided more details about what exactly happened in Grozny.  The picture did not fundamentally change, but there are a few interesting details.  It turns out that the group of Wahabis were ethnic Chechens, at least for 4 out of 9, and that they managed to enter Grozny in several cars.  This is not much of a feat, since the checkpoints at the entry of the city have been removed for a long time already.