From: thomas.r.shemanske@dartmouth.edu (Thomas R. Shemanske) Subject: Re: Class Field Theory Reference. Date: 2 Apr 00 15:33:21 GMT Newsgroups: sci.math.numberthy Summary: [missing] Ramesh Sreekantan wrote: > > This is not a mathematics question so I apologise for posting it here, but > I thought somebody would be able to help. Several years ago, I read this > short paper which I think was called `What is Class Field Theory ?', which > was an exposition of Class Field theory in down to Earth and explicit > terms. I thought it was by Hazewinkel, but a search of his papers on Math > Sci Net reveals no such thing. In fact a search for a paper with that > title reveals nothing. > > I was wondering if someone knows the paper I am talking about and whether > they can give me a precise reference. I seem to recall that it was in a > journal like the Bulletin of the AMS which has both research and > expository papers. > > Thanks in advance, > > Ramesh Sreekantan I know of two nice survey articles. Perhaps it was one of these. \bibitem{Garbanati} D. Garbanati, Class Field Theory Summarized, {\em Rocky Mountain Journal of Mathematics}, {\bf 11} Number 2, (1981), 195--225. \bibitem{Wyman} B. F. Wyman, What Is a Reciprocity Law?, {\em American Mathematical Monthly}, {\bf 79}, (1972), 571--586. -- Thomas R. Shemanske (Mailing Address) (Office/Internet Information) Department of Mathematics 203 Choate House 6188 Bradley Hall thomas.r.shemanske@dartmouth.edu Dartmouth College http://www.math.dartmouth.edu/~trs/ Hanover, NH 03755-3551 (603) 646 - 3179 Directions: http://www.math.dartmouth.edu/~trs/choatehouse.html Office hours: http://www.math.dartmouth.edu/~trs/frontmatter/office.html Spring Term Office Hours: By appointment ============================================================================== From: jgc@adinet.com.uy (Julio Gonzalez Cabillon) Subject: Re: Class Field Theory Reference. Date: 2 Apr 00 19:49:22 GMT Newsgroups: sci.math.numberthy Ramesh Sreekantan wrote: | | ... Several years ago, I read this short paper which I think was called | 'What is Class Field Theory ?', which was an exposition of Class Field | theory in down to Earth and explicit terms. | ... | I was wondering if someone knows the paper I am talking about and whether | they can give me a precise reference. | ... I happen to believe that you are looking for Michiel Hazewinkel's "Local Class Field Theory is Easy" [Adv. Math. 18 (1975), 148-181]. Regards, JGC ============================================================================== From: Franz Lemmermeyer Subject: Re: Class Field Theory Reference. Date: Sun, 02 Apr 2000 17:16:16 +0200 Newsgroups: sci.math.research Ramesh Sreekantan wrote: > This is not a mathematics question so I apologise for posting it here, but > I thought somebody would be able to help. Several years ago, I read this > short paper which I think was called `What is Class Field Theory ?', which > was an exposition of Class Field theory in down to Earth and explicit > terms. I thought it was by Hazewinkel, but a search of his papers on Math > Sci Net reveals no such thing. In fact a search for a paper with that > title reveals nothing. You're probably confusing this with 52 #10688 12B25 Hazewinkel, Michiel Local class field theory is easy. Advances in Math. 18 (1975), no. 2, 148--181. and my guess is that you want 82g:12010 12A65 (12-02) Garbanati, Dennis Class field theory summarized. Rocky Mountain J. Math. 11 (1981), no. 2, 195--225. The article by Thomas Shemanske on http://hilbert.dartmouth.edu/~trs/expository-papers/ is similar in nature; you might also find the surveys on http://www.math.u-bordeaux.fr/~cohen/ useful. franz ============================================================================== From: Ramesh Sreekantan Subject: Class Field Theory Reference...contd. Date: Sun, 2 Apr 2000 16:29:17 -0400 Newsgroups: sci.math.research Hi I would like to thank the number of people who responded to my request for the paper on Class Field Theory. The one I had in mind was `What is a Reciprocity Law ?' by B.F. Wyman, Am Math. Monthly vol. 79 Issue 6 1972 pp 571-586. And thanks to the wonders of modern technology and JSTOR, I could get a copy without leaving my computer. Ramesh