Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 4.3bsd-beta 6/6/85; site ucbvax.BERKELEY.EDU Path: utzoo!watmath!clyde!burl!ulysses!ucbvax!brahms!white From: white@brahms.BERKELEY.EDU (Samuel P. White) Newsgroups: net.math Subject: SL(n,R)/SL(n,Z) Message-ID: <12668@ucbvax.BERKELEY.EDU> Date: Tue, 25-Mar-86 22:23:43 EST Article-I.D.: ucbvax.12668 Posted: Tue Mar 25 22:23:43 1986 Date-Received: Thu, 27-Mar-86 01:25:40 EST Sender: usenet@ucbvax.BERKELEY.EDU Reply-To: white@brahms.BERKELEY.EDU (Samuel P. White) Organization: University of California, Berkeley Lines: 5 Keywords: Lie Groups, Knots Let SL(n,R) be the special linear group of nxn matrices over the real numbers and SL(n,Z) be the same except over the integers. What is SL(n,R)/SL(n,Z)? If n=2 then quotient is supposedly homeomorphic as a manifold to the complement of a trefoil. What happens when n > 2?