Facebook is a Social Bookmarking website. It can popular your website /blog. In this way some traffics are coming to your website / blog. This is an indirect support to SEO.
In my product Backlink Buddy Pro, I show my customers away to get a backlink (dofollow) PR 10 from Facebook. You can do it you just need the right apps.
The varioues facebook applications will help you to get traffic, Not PageRank or help improving your SEO
faceBook pages brings you more traffic, Inshort all facebook apps like (like-box, facebook share button,live stream) helps you to get more visitors. But all these application use either nofollow or uses php redirect so no link juice will be transfered to your site, so they are not seo friendly.
I have heard recently, Google has made changes regarding facebook priority over indexing search engine optimization. I hope this will also help in SEO as well...
its can increase poultry of your web sites domain by sending real visitors. but in term of back links for web site it is not gives wait to your site for Google search engine ....
Indirectly it gives you SEO support, but it'll definitely directly give whatever link you import more traffic - which is probably one of the most important aspects of marketing.
Now a days, Google are indexing back link for facebook. So definitly you will get benifit for SEO as well as generate traffic to your website.
It's not just for traffic - if your site attracts good amounts of Likes, +1s, tweets, etc - this can greatly impact your SEO. It shows google that your content is really useful to users.
yes, use fanpage to get traffic, if your fanpage have enough fans and hot posts, google with related keywords can find your facebook page.