Talk:Group

Rationale for definition choices
I've focused on two broad definition styles, that are clearly equivalent to people with basic knowledge of groups. One definition, typically the one introduced in textbooks, defines a group as a set with binary operation, such that an identity element and inverses exist. The other definition starts with all three operations satisfying three conditions. The latter definition is more useful from a universal algebra perspective, i.e., when we want to view groups as a variety of algebras.

Is this a sufficiently elementary article?
Group is the most basic definition and the article seems to be a little too long and complicated. Can the definition and other details be followed easily or does it look intimidating? Vipul 23:43, 23 May 2007 (IDT)