  A slice (G, S) of finite groups is a pair consisting of a finite group G and
a subgroup S of G. In this paper, we show that some properties of finite groups
extend to slices of finite groups. In particular, by analogy with B-groups, we
introduce the notion of T$^\circ$-slice, and show that any slice of finite
groups admits a largest quotient T$^\circ$-slice.
