Near full groups of bounded type, \rom{2}

We give sufficient conditions for a group of bounded type to contain the AF alternating group.

We axiomatize the containment process through alternating data, diagonal inheritance, propagation by selectors, and bounded absorption.

We also isolate a class of fragmentations that produce selectors.

As an application, we show that a fragmentation group of the modified Fabrykowski--Gupta group contains the AF alternating group, has absorption delay at most $2$, and has parity completion equal to its topological full group.