A finiteness condition or property is a group-theoretical property which is possessed by all finite groups: thus it is a generalization of finiteness. This embraces an immensely wide collection of properties, numerous examples of which we have already encountered, for example, finiteness, finitely generated, the maximal condition and so on. Our purpose here is to single out for special study some of the more significant finiteness properties.
KeywordsNormal Subgroup Finite Group Maximal Subgroup Sylow Subgroup Abelian Subgroup
Unable to display preview. Download preview PDF.