Hello all.. It's been quite some time since I've been here, so I doubt any of you remember me. Anyhow, I'll get to my discussion.. I'm graduating in May with my BS in Math/Physics. I'm currently doing independent studies in Coding Theory as well as some higher abstract algebra. I've been working on a problem I found in an old Abstract Algebra book for 3.5 weeks now and I finally have it solved but my details aren't clear enough for my satisfaction. The detail I'm trying to pretty-up is: I've got three 2-Sylow subgroups of a group G where |G| = 48, and so the orders of the Hi's are 16 (where the Hi's are the 2-Sylow subgroups. I would like to show that |H1 intersect H2| = |H1 intersect H3| = |H2 intersect H3| any idears?