Magnificent Marvel Supersale
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Original Essays | March 24, 2015

    Judith Claire Mitchell: IMG The Book That Refused to Write Itself



    I first heard of Fritz Haber in 1998, when I caught a snippet of a TV documentary about 20th-century scientists. The camera zoomed in on an image of... Continue »

    spacer
Qualifying orders ship free.
$87.75
New Hardcover
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Group Theory

Graduate Texts in Mathematics #0148: An Introduction to the Theory of Groups

by

Graduate Texts in Mathematics #0148: An Introduction to the Theory of Groups Cover

 

Synopses & Reviews

Publisher Comments:

Anyone who has studied "abstract algebra" and linear algebra as an undergraduate can understand this book. This edition has been completely revised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions.The first six chapters provide ample material for a first course: beginning with the basic properties of groups and homomorphisms, topics covered include Lagrange's theorem, the Noether isomorphism theorems, symmetric groups, G-sets, the Sylow theorems, finite Abelian groups, the Krull-Schmidt theorem, solvable and nilpotent groups, and the Jordan-Holder theorem.The middle portion of the book uses the Jordan-Holder theorem to organize the discussion of extensions (automorphism groups, semidirect products, the Schur-Zassenhaus lemma, Schur multipliers) and simple groups (simplicity of projective unimodular groups and, after a return to G-sets, a construction of the sporadic Mathieu groups).

Synopsis:

Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS

Table of Contents

Groups and Homomorphisms.- The Isomorphism Theorems.- Symmetric Groups and G-Sets.- The Sylow Theorems.- Normal Series.- Finite Direct Products.- Extensions and Cohomology.- Some Simple Linear Groups.- Permutations and Mathieu Groups.- Abelian Groups.- Free Groups and Free Products.- The Word Problem.- Appendices: Some Major Algebraic Systems.- Equivalence Relations and Equivalence Classes.- Functions.- Zorn's Lemma.- Countability.- Commutative Rings.- Bibliography.- Notation.- Index.

Product Details

ISBN:
9780387942858
Author:
Rotman, Joseph J.
Author:
Rotman
Publisher:
Springer
Location:
New York, NY
Subject:
Group Theory
Subject:
Group Theory and Generalizations
Subject:
Mathematics-Group Theory
Subject:
Algebra - Abstract
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
4
Edition Description:
1995. Corr. 2nd
Series:
Graduate Texts in Mathematics
Series Volume:
0148
Publication Date:
19941104
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
532
Dimensions:
235 x 155 mm 2050 gr

Other books you might like

  1. Applications of Tensor Analysis Used Trade Paper $7.95
  2. Matrix Analysis New Trade Paper $67.25
  3. Elliptic Curves 2ND Edition New Hardcover $99.25
  4. Categories for the Working Mathemati... New Hardcover $82.75
  5. Analysis of Observed Chaotic Data New Trade Paper $108.50

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Reference » Science Reference » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory
Travel » Travel Writing » General

Graduate Texts in Mathematics #0148: An Introduction to the Theory of Groups New Hardcover
0 stars - 0 reviews
$87.75 In Stock
Product details 532 pages Springer-Verlag - English 9780387942858 Reviews:
"Synopsis" by , Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
spacer
spacer
  • back to top

FOLLOW US ON...

     
Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.