Timeline for distribution of non-solvable group orders

9 events

when toggle format	what		by	license	comment
Jan 3, 2010 at 16:37	comment	added	Michael Lugo		Bjorn, that did confuse me; thanks for clearing it up.
Jan 3, 2010 at 3:04	history	edited	Ben Webster♦	CC BY-SA 2.5	added 2 characters in body
Dec 31, 2009 at 19:48	comment	added	Bjorn Poonen		To avoid confusion: when Ben writes "the Suzuki group", he means a member of the family of Suzuki groups of Lie type, not the Suzuki sporadic group Suz.
Dec 31, 2009 at 19:10	vote	accept	Martin Brandenburg
Dec 31, 2009 at 16:22	comment	added	David E Speyer		Pete is also implicitly using the odd order theorem, to know that the nonabelian simple factor cannot be odd.
Dec 31, 2009 at 14:47	comment	added	Pete L. Clark		A group is nonsolvable iff it has at least one nonabelian simple group as a composition factor. Moreover, if G is a finite nonabelian simple group of order a, then for all positive integers x, ax is the order of a nonsolvable group: G x Z_x.
Dec 31, 2009 at 14:43	comment	added	Martin Brandenburg		how do you arrive at simple groups?
Dec 31, 2009 at 14:09	comment	added	Pete L. Clark		That's right -- it's an elementary exercise that a simple group cannot have order twice an odd number: a permutation representation argument shows that a group of order 2 mod 4 has a subgroup of index 2.
Dec 31, 2009 at 13:41	history	answered	Ben Webster♦	CC BY-SA 2.5