Timeline for Generalization of a Result on Solvable Groups

7 events

when toggle format	what		by	license	comment
Dec 24, 2012 at 18:41	vote	accept	ARupinski
Dec 16, 2011 at 1:44	comment	added	Benjamin Steinberg		I had meant section where I wrote factor. I remembered the term chief factors in Marshall Hall for composition factors and thought that he must use factor for what I would call divisor. A subgroup of a quotient is of course a quotient of a subgroup but the converse is false. If G is a simple group, then it has no subquotients because it has no quotients. But it can have many divisors.
Dec 16, 2011 at 1:33	comment	added	Tom Goodwillie		"Factor group" is an old-fashioned synonym for "quotient group". Subgroups of quotient groups are the same as quotient groups of subgroups. I like to call them subquotients.
Dec 16, 2011 at 1:02	comment	added	Benjamin Steinberg		Steve, thanks! I knew group theorists had another name for it, but I couldn't recall it.
Dec 16, 2011 at 0:44	comment	added	Steve D		I think another common term for "divisor" is "section".
Dec 16, 2011 at 0:33	comment	added	Benjamin Steinberg		The book of Ribes and Zalesskii on profinite groups has information about formations and generalizations, which seems what the question is about.
Dec 16, 2011 at 0:26	history	answered	Benjamin Steinberg	CC BY-SA 3.0