Re: [math-fun] Lattice / finite group question

--- <dasimov@earthlink.net> wrote:

Let G be any finite group.

Questions:

1) Is there always some n such that there is some n-dimensional lattice L whose isometry group (keeping the origin fixed) is isomorphic to G ?

No. Inversion through the origin is always a lattice isometry, so the isometry group must have even order. Gene ____________________________________________________ Sell on Yahoo! Auctions – no fees. Bid on great items. http://auctions.yahoo.com/