Timeline for Maximal size of minimal generating set

8 events

when toggle format	what		by	license	comment
Dec 22, 2015 at 10:06	comment	added	YCor		An improvement is to precisely give $D(G)$ for any abelian (or nilpotent) $G$. Namely, let $G$ be nilpotent and let $G'$ be its quotient by its Frattini subgroup, so $G'$ is a product of $k$ cyclic groups of prime order. Then $D(G)=D(G')=k$.
Dec 22, 2015 at 9:33	history	edited	Geoff Robinson	CC BY-SA 3.0	deleted 1016 characters in body
Dec 22, 2015 at 0:47	history	edited	Geoff Robinson	CC BY-SA 3.0	added 2 characters in body
Dec 21, 2015 at 23:13	history	edited	Geoff Robinson	CC BY-SA 3.0	Expanded answer on when maximal value is attained.
Dec 21, 2015 at 15:53	comment	added	Geoff Robinson		I read the question differently, but the PO may clarify. I think it is a rather tall order to expect to know $D(G)$ precisely for all finite groups, but I am prepared to be proved wrong.
Dec 21, 2015 at 15:47	comment	added	Seva		What if $G$ is not abelian of square-free exponent? As I understand if, the PO wants to know $D(G)$ precisely for all finite groups $G$.
Dec 21, 2015 at 15:39	history	edited	Geoff Robinson	CC BY-SA 3.0	typos
Dec 21, 2015 at 15:26	history	answered	Geoff Robinson	CC BY-SA 3.0