Besidescontainingadiscussionofthepossibleordertypesofabelianseriesinsimplegroups,thepaperalsopresentsanextremelyinformativesurveyoftheinter-relationsthatareknownorconjecturedtoexistbetweenthevariousclassesofgeneralizedsolublegroups.
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Besides containing a discussion of the possible order types of abelian series in simple groups, the paper also presents an extremely informative survey of the inter-relations that are known or conjectured to exist between the various classes of generalized soluble groups.