Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Display
Catalogue Display
Around Burnside
.
Bookmark this Record
Catalogue Record 42565
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 42565
.
Reviews
Catalogue Record 42565
.
British Library
Resolver for RSN-42565
Google Scholar
Resolver for RSN-42565
WorldCat
Resolver for RSN-42565
Catalogo Nazionale SBN
Resolver for RSN-42565
GoogleBooks
Resolver for RSN-42565
ICTP Library
Resolver for RSN-42565
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
512.55
512.482
Title
Around Burnside ([EBook]) / by A. I. Kostrikin.
Author
Kostrikin, Aleksei Ivanovic
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1990.
Physical Details
XII, 222 pages : online resource.
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
0071-1136 ; ; 20
ISBN
9783642743245
Summary Note
Perhaps it is not inappropriate for me to begin with the comment that this book has been an interesting challenge to the translator. It is most unusual, in a text of this type, in that the style is racy, with many literary allusions and witticisms: not the easiest to translate, but a source of inspiration to continue through material that could daunt by its combinatorial complexity. Moreover, there have been many changes to the text during the translating period, reflecting the ferment that the subject of the restricted Burnside problem is passing through at present. I concur with Professor Kostrikin's "Note in Proof', where he describes the book as fortunate. I would put it slightly differently: its appearance has surely been partly instrumental in inspiring much endeavour, including such things as the paper of A. I. Adian and A. A. Razborov producing the first published recursive upper bound for the order of the universal finite group B(d,p) of prime exponent (the English version contains a different treatment of this result, due to E. I. Zel'manov); M. R. Vaughan-Lee's new approach to the subject; and finally, the crowning achievement of Zel'manov in establishing RBP for all prime-power exponents, thereby (via the classification theorem for finite simple groups and Hall-Higman) settling it for all exponents. The book is encyclopaedic in its coverage of facts and problems on RBP, and will continue to have an important influence in the area.:
Contents note
1 Introduction -- § 1. Historical Survey -- § 2. Engel Lie Algebras: Definitions and Examples -- § 3. The Locally Nilpotent Radical -- § 4. Basic Conventions. Elementary Combinatorics -- § 5. The Method of Sandwiches -- § 6. Filtrations in Lie Algebras -- § 7. Main results and Structure of Proofs -- § 8. Commentary -- 2 The Descent to Sandwiches -- § 1. Descent to nil-elements of index 3 -- § 2. Descent to Thin Sandwiches (General Case) -- § 3. Descent to Thin Sandwiches (the Case p > n) -- § 4. Descent from C2* to C(p-3)/2* 41 -- § 5. Commentary -- 3 Local Analysis on Thin Sandwiches -- § 1. A First Footbridge Between Thin and Thick Sandwiches -- § 2. A Second Footbridge Between Thin and Thick Sandwiches -- § 3. Two Necessary Lemmas -- § 4. Sandwich Algebras -- § 5. Commentary -- 4 Proof of the Main Theorem -- § 1. Pairs of Thin Sandwiches -- § 2. Thick Pairs of Thin Sandwiches -- § 3. Completion of the Proof of the Main Theorem -- § 4. Commentary -- 5 Evolution of the Method of Sandwiches -- § 1. Rehabilitation of False Sandwiches -- § 2. A Geodesic Connecting Theorems 3.4.1 and 1.7.4 -- § 3. The Local Nilpotency of Sandwich Algebras -- § 4. The Sandwich Radical and its Applications -- § 5. Commentary -- 6 The Problem of Global Nilpotency -- § 1. The Nilpotency Class of a Lie Algebra with En -- § 2. Combination of Solubility and the Engel Condition En -- § 3. Insolubility for n Close to p -- § 4. Global Nilpotency for p > n -- § 5. Commentary -- 7 Finite p-Groups and Lie Algebras -- § 1. Fundamental Relations Between Groups and Lie Algebras -- § 2. The Ideal of Relations (a general Survey) -- § 3. Multilinear Relations: Proofs of Theorems 2.3 and 2.4 -- § 4. Commentary -- Appendix I An Effective Version of the Proof of Theorem 1.7.4 in Terms of Recursive Functions (due to E. I. Zel’manov) -- Appendix II A Short Biography of William Burnside (after A.R. Forsyth [52]) -- Epilogue -- Notes Added in Proof -- References -- Author Index -- Notation.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-74324-5
Links to Related Works
Subject References:
Group theory
.
Group Theory and Generalizations
.
Lie groups
.
Mathematics
.
Topological groups
.
Topological groups, Lie groups
.
Authors:
Kostrikin, Aleksei Ivanovic
.
Kostrikin, Aleksei Ivanovic
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
.
Classification:
512.482
.
512.55
.
.
ISBD Display
Catalogue Record 42565
.
Tag Display
Catalogue Record 42565
.
Related Works
Catalogue Record 42565
.
Marc XML
Catalogue Record 42565
.
Add Title to Basket
Catalogue Record 42565
.
Catalogue Information 42565
Beginning of record
.
Catalogue Information 42565
Top of page
.
Download Title
Catalogue Record 42565
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
42565
1
42565
-
2
42565
-
3
42565
-
4
42565
-
5
42565
-
Quick Search
Search for