Some finiteness questions about formations

V. P. Burichenko

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: In this paper we give negative answers to some open “finiteness questions” related to local and Baer-local formations of finite groups. Relevant examples are constructed explicitly. In particular, we describe a pair of local formations $(\mathfrak{F},\mathfrak{H})$ such that the set of all local formations that are contained in $\mathfrak{F}$ and not contained in $\mathfrak{H}$ has no minimal element.

UDC: 512.542

Received: 01.02.2013