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eBook The Theory of Finite Groups: An Introduction (Universitext) ePub

eBook The Theory of Finite Groups: An Introduction (Universitext) ePub

by Bernd Stellmacher,Hans Kurzweil

  • ISBN: 0387405100
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Bernd Stellmacher,Hans Kurzweil
  • Language: English
  • Publisher: Springer; 2004 edition (November 6, 2003)
  • Pages: 388
  • ePub book: 1527 kb
  • Fb2 book: 1231 kb
  • Other: lrf mobi azw lrf
  • Rating: 4.6
  • Votes: 519

Description

The only drawback to this book is that the exercises seemingly disappear after page 223 in the chapter dealing with groups acting on groups.

The only drawback to this book is that the exercises seemingly disappear after page 223 in the chapter dealing with groups acting on groups. I know the material becomes more dense, more difficult and more abstract but, I would have assumed that the authors could have provided the reader with exercises post chapter 8 (even if the exercise was finishing a proof). Aside from that, I would recommend this text to everyone and anyone.

Hans Kurzweil Bernd Stellmacher. The Theory of Finite Groups. Hans Kurzweil Institute of Mathematics University of Erlangen-Nuremburg Bismarckstrasse 11/2 Erlangen 91054 Germany [email protected] Bernd Stellmacher Mathematiches Seminar Kiel Universität Ludewig-Meyn Strasse 4 Kiel D-24098 Germany stellmacher.

Kurzweil and B. Stellmacher. This book is a tour de force. An exciting and refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. The text serves as a springboard for deeper study in many directions.

Even though representation theory and constructions of simple groups have been omitted, the text serves .

Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions. One who completes this text not only gains an appreciation of both the depth and the breadth of the theory of finite groups, but also witnesses the evolutionary development of concepts that form a basis for current investigations. This is accomplished by providing a thread that permits a natural flow from one concept to another rather than compartmentalizing.

Hans Kurzweil Institute of Mathematics University of Erlangen-Nuremburg Bismarckstrasse llJ2 Erlangen 91054 Germany kurzweil @mi. uni -erlangen. Bernd Stellmacher Mathematiches Seminar Kiel Christian - Albrechts- U ni versiHit Ludewig-Meyn Strasse 4 Kiel D-24098 Germany stellmacher. Since its early beginnings in the nineteenth century the theory of finite groups has grown to be an extensive and diverse part of algebra. In our book we want to introduce the reader-as far as an introduction can do this-to some of the developments in this area that contributed to this success or may open new perspectives for the future.

Bernd Stellmacher, Hans Kurzweil.

Authors: Kurzweil, Hans, Stellmacher, Bernd

Authors: Kurzweil, Hans, Stellmacher, Bernd. There are a lot of nice exercises, the scholarship is phenomenally thoroug. .The entire presentation is quite elegant. This is a book which every serious student of finite groups will want to own, and one which makes a highly significant contribution to the discipline. Robert T. Curtis, The Mathematical Gazette, Vol. 89 (515), 2005).

Hans Kurzweil, Bernd Stellmacher. Category: Mathematics, Algebra, Group theory. The Theory of Finite Groups: An Introduction (Universitext). Hans Kurzweil, Bernd Stellmacher. 3 Mb. The Theory of Finite Groups: An Introduction. 7 Mb. 4 Mb. The Theory ofFinite Groups. Hans Kurzweil Bernd of Mathematics Mathematiches Seminar KielUniversity of Erlangen-Nuremburg rasse 11/2 Ludewig-Meyn Strasse 4Erlangen 91054 Kiel D-24098Germany [email protected]

Kurzweil, Hans; Stellmacher, Bernd (2004). Zassenhaus, Hans (1937). Lehrbuch der Gruppentheorie. Hamburger Mathematische Einzelschriften. New York: Springer-Verlag.

From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions." Mathematical Reviews

Comments

Minnai Minnai
I don't think I could come up with enough superlatives to describe just how good this text really is. Both authors have done an excellent job describing as well as motivating the subject and have subsequently turned me into an avid fan of the theory of finite groups. What I find disappointing is my assumption that the available pool of readers is more like a shallow puddle. This can easily be seen from the fact that, as thriving of a subject finite groups may be, it does not appear in the course catalog of most academic institutions. It would be nice to see this book adopted as a seniors honor course for undergraduates or as an advanced algebra course for graduate students looking to specialize in matters algebraic. Now, off my soap box. Without a doubt this text will become another classic in the field of finite groups, akin to Gorenstein's. So who can read this text? Well, as un-original as it is, the mathematically mature and, more importantly, anyone who has taken an Algebra course that covered the standard basics of group theory. To be exact, if you learned Algebra using Hungerford's text, then you should be adequately prepared for this book. Of course this assumes you have seen and understand the how's/why's of the Sylow theorems, the structure and purpose of Abelian groups, the role Normality plays and, in my opinion, you should have a firm grasp of the role/structure/purpose of the various types of morphisms (homomorphism, epimorphism, monomorphism, and isomorphism)and how and why they are so important in group theory. The only drawback to this book is that the exercises seemingly disappear after page 223 in the chapter dealing with groups acting on groups. I know the material becomes more dense, more difficult and more abstract but, I would have assumed that the authors could have provided the reader with exercises post chapter 8 (even if the exercise was finishing a proof). Aside from that, I would recommend this text to everyone and anyone. In particular, if you are not a math wiz and just plain interested in learning about finite groups, then I would suggest that you pick up this text. Good luck and happy proving!
Āłł_Ÿøūrš Āłł_Ÿøūrš
even granting the inability of mathematicians to
write intelligibly this abomination stands out as
truly horrific --- if you already have a decent
knowledge of group theory you can translate the
first half into earthspeak (albeit with effort)
however, the second half is absolutely hopeless --
of course, if the title had been " a dense and
unrewarding slog thru technical minutiae " ,
then buyers could beware --- hence, the publishers
must be held to account when they irresponsibly and
misleadingly label this an " introduction ?????!! "
such dishonesty hasn't been seen since the ratings
agencies doomed us all to hell in 2008
Cezel Cezel
If the publisher permits, use my review or draw attention to it on the external back cover of the text.