Subgroup Lattices of Groups

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $177.47
Usually ships in 1-2 business days
(Save 36%)
Other sellers (Hardcover)
  • All (5) from $177.47   
  • New (3) from $212.76   
  • Used (2) from $177.47   

Editorial Reviews

The central theme of this volume is the relation between the structure of a group and the structure of its lattice of subgroups. The volume contains nine chapters: fundamental concepts; modular lattices and abelian groups; complements and special elements in the subgroup lattice of a group; projectivities and arithmetic structure of infinite groups; projectivities and normal structure of finite groups; projectivities and normal structure of infinite groups; classes of groups and their projectivities; dualities of subgroup lattices, and further lattices. The volume contains a large number of exercises and is the only text on subgroup lattices since Suzuki's 1956 Structure of a Group and the Structure of Its Lattice of Subgroups (Berlin: Heidelberg, New York: Springer-Verlag). Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

Table of Contents

Ch. 1 Fundamental concepts 1
Ch. 2 Modular lattices and abelian groups 41
Ch. 3 Complements and special elements in the subgroup lattice of a group 114
Ch. 4 Projectivities and arithmetic structure of finite groups 157
Ch. 5 Projectivities and normal structure of finite groups 199
Ch. 6 Projectivities and normal structure of infinite groups 281
Ch. 7 Classes of groups and their projectivities 343
Ch. 8 Dualities of subgroup lattices 452
Ch. 9 Further lattices 485
Bibliography 542
Index of Names 561
Index of Subjects 564
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)