Free Group Rings. (Record no. 68490)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03130nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3112955 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124529.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1987 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821876565 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821850725 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3112955 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3112955 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10873118 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)774694102 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA251.35 -- .F74 1987eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gupta, Narain. |
| 245 10 - TITLE STATEMENT | |
| Title | Free Group Rings. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1987. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1987. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (142 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.66 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Table of Contents -- Preface -- Chapter I: Magnus Embeddings and Free Differential Calculus -- 1. Some faithful 2 X 2 matrix representations -- 2. Free differential calculus -- 3. The fundamental theorem of free group rings -- 4. The Poincaré-Birkhoff-Witt Theorem -- Chapter II: Applications of Magnus Embedding -- 1. Some properties of F/R' -- 2. Some algorithmic problems in F/R' -- 3. Faithfulness of relation modules -- 4. Residual nilpotence of F/R' -- Chapter III: Fox Subgroups of Free Groups -- 1. A faithful matrix representation of F/F(n,R) -- 2. Identification of F(2,R) -- 3. Identification of F(n,R) (F/R finite) -- 4. A filtration of the lower central series of F -- 5. A solution of the Fox problem -- 6. Structure of Fox modules -- 7. The centre of F/F(n,R), n ≥ 2 -- Chapter IV: Dimension Subgroups -- 1. Sjogren's theorem -- 2. A counter-example due to rips -- 3. Some preliminary results on dimension subgroups -- 4. Dimension subgroups of metabelian groups -- 5. Structure of the fourth dimension subgroup -- 6. Dimension subgroups of metabelian p-groups -- Chapter V: Generalized Magnus Ernbeddings -- 1. A faithful matrix representation of ~F/~~ (1. A faithful matrix representation of ~F/nx (x ≤ s -- 2. A faithful matrix representation of zF/x1 ... xn -- 3. Residual nilpotence of F/F n {1+x 1 ···xn) -- 4. Identification of F n (1+x1 ···xn) for small n -- 5. Some applications of the generalized embeddings -- 6. The problem section -- Bibliography. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Group rings. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Gupta, Narain |
| Title | Free Group Rings |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1987 |
| International Standard Book Number | 9780821850725 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112955">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112955</a> |
| Public note | Click to View |
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