Imprimitive Irreducible Modules for Finite Quasisimple Groups. (Record no. 69817)
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| fixed length control field | 04611nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114298 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124605.0 |
| 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 | 240724s2015 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470420314 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470409609 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114298 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114298 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11040302 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922982042 |
| 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 | QA247 -- .H577 2014eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.482 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hiss, Gerhard. |
| 245 10 - TITLE STATEMENT | |
| Title | Imprimitive Irreducible Modules for Finite Quasisimple Groups. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence, RI : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2015. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (126 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 | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.234 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Acknowledgements -- Chapter 1. Introduction -- Chapter 2. Generalities -- 2.1. Comments on the notation -- 2.2. Conditions for primitivity -- 2.3. Some results on linear groups of small degree -- 2.4. Reduction modulo ℓ and imprimitivity -- 2.5. A result on polynomials -- Chapter 3. Sporadic Groups and the Tits Group -- Chapter 4. Alternating Groups -- Chapter 5. Exceptional Schur Multipliers and Exceptional Isomorphisms -- 5.1. Description of the tables -- 5.2. The proofs -- Chapter 6. Groups of Lie type: Induction from non-parabolic subgroups -- 6.1. Outline of the strategy -- 6.2. The classical groups of Lie type -- 6.3. The exceptional groups of Lie type -- Chapter 7. Groups of Lie type: Induction from parabolic subgroups -- 7.1. Harish-Chandra series -- 7.2. Lusztig series -- 7.3. Asymptotics -- Chapter 8. Groups of Lie type: char( )=0 -- 8.1. Some results on Weyl groups -- 8.2. Harish-Chandra series -- 8.3. Lusztig series -- Chapter 9. Classical groups: ℎ ( )=0 -- 9.1. The groups -- 9.2. Harish-Chandra series -- 9.3. Lusztig series -- 9.4. Examples for the restriction to commutator subgroups -- Chapter 10. Exceptional groups -- 10.1. The exceptional groups of type and -- 10.2. Explicit results on some exceptional groups -- Bibliography -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Motivated by the maximal subgroup problem of the finite classical groups the authors begin the classification of imprimitive irreducible modules of finite quasisimple groups over algebraically closed fields K. A module of a group G over K is imprimitive, if it is induced from a module of a proper subgroup of G. The authors obtain their strongest results when {\rm char}(K) = 0, although much of their analysis carries over into positive characteristic. If G is a finite quasisimple group of Lie type, they prove that an imprimitive irreducible KG-module is Harish-Chandra induced. This being true for \mbox{\rm char}(K) different from the defining characteristic of G, the authors specialize to the case {\rm char}(K) = 0 and apply Harish-Chandra philosophy to classify irreducible Harish-Chandra induced modules in terms of Harish-Chandra series, as well as in terms of Lusztig series. The authors determine the asymptotic proportion of the irreducible imprimitive KG-modules, when G runs through a series groups of fixed (twisted) Lie type. One of the surprising outcomes of their investigations is the fact that these proportions tend to 1, if the Lie rank of the groups tends to infinity. For exceptional groups G of Lie type of small rank, and for sporadic groups G, the authors determine all irreducible imprimitive KG-modules for arbitrary characteristic of K. |
| 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 | Algebraic fields. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Finite groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Semisimple Lie groups. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Husen, William J. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Magaard, Kay. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Hiss, Gerhard |
| Title | Imprimitive Irreducible Modules for Finite Quasisimple Groups |
| Place, publisher, and date of publication | Providence, RI : American Mathematical Society,c2015 |
| International Standard Book Number | 9781470409609 |
| 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 | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114298">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114298</a> |
| Public note | Click to View |
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