Cassels and Fröhlich. First printed in , this book has been essential reading for aspiring algebraic number theorists for more than. Solutions to the Cassels-Fröhlich exercises. Dorian Ni. May First of all, many thanks to Kevin Buzzard for his kind help, and for his willingness to answer . Cassels–Froehlich errata. July 18, Consider what God has done: Who can straighten what he has made crooked? Ecclesiastes 1 These errata.

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Should be indexed by U in the limit process, not UH. Sign up or log in Sign up using Google. I may have made an error, but I think page isn’t actually mistaken: If this definition is used then what the authors write seems to be OK.

This actually seems to me an ideal use of the collected attention of Math Overflow to do something that helps the community more generally. I recall also having trouble getting the signs in part 14 of that exercise on cubic reciprocity to work out, perhaps because of the mess of algebra, perhaps because some of the computations depend on part Page 78, line -8 display A.

Also, the verification that the displayed map is actually inverse to the Artin map seems to merit a tiny bit of explanation using the identification of artin map with cup product against fundamental class casseks Serre’s treatment of the local case. But judging by the upvotes I have misjudged this. Pageline 3 of section 2.

Edit 25 April I posted this question in several other places as well the nmbrthry mailing list, and sci. OK, so all the people whom I was almost sure would have comments have now got back to me.


Ok, the deadline has past, I’ve spent days going through the results, and I have collated them all here: Email Required, but never shown.

Here’s one I didn’t see on the list on mathoverflow: Pageline 14 the first display: Page 78, line I posted everything in one “burst” so as to only bump this post to the top one last time. On the other hand it is surely a very widely-read book.

Introduction to Algebraic Number Theory

But let me persist with the “lots of smaller ones” for the time being, because I am still getting emails with non-trivial lists in from different sources and, although I want to put everything together into one pdf file, I don’t really want to do it until I am pretty sure no more is casssels in. In my copy of the book, the footnote does not refer to Stalin. Oesterle points out that the “standard” definition of a co-induced module is Hom Lambda,X with G-action g.


Also, the proof is confused. Hence the LMS had to go about contacting the authors of the original articles. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand frohlicy your continued use of the website is subject to these policies.

The Brauer argument below makes it all moot.

This is a delicate one. I have a physical copy of the new printing of the book.

I trust you will apply your own sound judgment. The Theorem in the latter section is the correct formulation: I think frohluch is a typo? Does anyone else have any scrawled marginal notes in their copies of Cassels-Froehlich about typos or other things that the LMS can fix? I remember Serre explaining long ago that the reference to Stalin was a mischievous joke linked to NATO’s sponsorship of the conference.


I’ve started reading chapter 1. Bill Stein independently got in touch with me to tell me about the two typos on p99 he’s giving a talk on that chapter in 30 minutes’ time!

I typed up all the errata I heard into one pdf file and put it here. I do not understand what change Schoof wants. Sign up using Facebook. Post as a guest Name. Pageline 4: Discussion on this thread is happening here at the meta. I think the “action” they define is not an action, and I think the first couple of sentences of section 4 should be:. I agree, this seems like an excellent question.

books – Erratum for Cassels-Froehlich – MathOverflow

Ok so it looks like I misjudged this and the community seem happy to have the question here, at least at present. The London Mathematical Society would like to know all the errors I’ve made myself, by 12th of February, so feel free to let me know of anything, however trivial! It’s “borderline when it comes to what I want MO to be” ;- which is just loads of fun casswls questions with precise answers.