Ebook: Between Nilpotent and Solvable

This book is about solvable groups. It focusses on particular classes of finite solvable groups (supersolvable, M-group, etcetera) giving, in each case, at least the basic results about that class. We have chosen to consider only classes which contain ~. the class of all finite nilpotent groups. This
choice is not as capricious as it first appears. Several results proven in Chapter 5 show that ~ is contained in all classes which are "well-behaved" in various senses (Most notable of these results is that ~ is contained in all formations which can be locally defined by a system of nonempty formations).