The Resource Group Identities on Units and Symmetric Units of Group Rings, by Gregory T Lee, (electronic resource)

Group Identities on Units and Symmetric Units of Group Rings, by Gregory T Lee, (electronic resource)

Label
Group Identities on Units and Symmetric Units of Group Rings
Title
Group Identities on Units and Symmetric Units of Group Rings
Statement of responsibility
by Gregory T Lee
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Let FG be the group ring of a group G over a field F. Write U(FG) for the group of units of FG. It is an important problem to determine the conditions under which U(FG) satisfies a group identity. In the mid 1990s, a conjecture of Hartley was verified, namely, if U(FG) satisfies a group identity, and G is torsion, then FG satisfies a polynomial identity. Necessary and sufficient conditions for U(FG) to satisfy a group identity soon followed. Since the late 1990s, many papers have been devoted to the study of the symmetric units; that is, those units u satisfying u* = u, where * is the involution on FG defined by sending each element of G to its inverse. The conditions under which these symmetric units satisfy a group identity have now been determined. This book presents these results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies several particular group identities of interest
Member of
Is Subseries of
http://library.link/vocab/creatorName
Lee, Gregory T
Dewey number
512.4
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
mzrPkfD89ng
Language note
English
LC call number
QA251.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Algebra and Applications,
Series volume
12
http://library.link/vocab/subjectName
  • Algebra
  • Group theory
  • Associative Rings and Algebras
  • Group Theory and Generalizations
Label
Group Identities on Units and Symmetric Units of Group Rings, by Gregory T Lee, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Group Identities on Units of Group Rings -- Group Identities on Symmetric Units -- Lie Identities on Symmetric Elements -- Nilpotence of and
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (197 p.)
Form of item
online
Isbn
9781282927971
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84996-504-0
Specific material designation
remote
System control number
  • (CKB)2670000000036585
  • (EBL)602968
  • (OCoLC)667706665
  • (SSID)ssj0000437358
  • (PQKBManifestationID)11320509
  • (PQKBTitleCode)TC0000437358
  • (PQKBWorkID)10432544
  • (PQKB)10308941
  • (DE-He213)978-1-84996-504-0
  • (MiAaPQ)EBC602968
  • (EXLCZ)992670000000036585
Label
Group Identities on Units and Symmetric Units of Group Rings, by Gregory T Lee, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Group Identities on Units of Group Rings -- Group Identities on Symmetric Units -- Lie Identities on Symmetric Elements -- Nilpotence of and
Dimensions
unknown
Edition
1st ed. 2010.
Extent
1 online resource (197 p.)
Form of item
online
Isbn
9781282927971
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-84996-504-0
Specific material designation
remote
System control number
  • (CKB)2670000000036585
  • (EBL)602968
  • (OCoLC)667706665
  • (SSID)ssj0000437358
  • (PQKBManifestationID)11320509
  • (PQKBTitleCode)TC0000437358
  • (PQKBWorkID)10432544
  • (PQKB)10308941
  • (DE-He213)978-1-84996-504-0
  • (MiAaPQ)EBC602968
  • (EXLCZ)992670000000036585

Library Locations

  • Architecture LibraryBorrow it
    Gould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US
    35.205706 -97.445050
  • Bizzell Memorial LibraryBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Boorstin CollectionBorrow it
    401 W. Brooks St., Norman, OK, 73019, US
    35.207487 -97.447906
  • Chinese Literature Translation ArchiveBorrow it
    401 W. Brooks St., RM 414, Norman, OK, 73019, US
    35.207487 -97.447906
  • Engineering LibraryBorrow it
    Felgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US
    35.205706 -97.445050
  • Fine Arts LibraryBorrow it
    Catlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US
    35.210371 -97.448244
  • Harry W. Bass Business History CollectionBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • History of Science CollectionsBorrow it
    401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • John and Mary Nichols Rare Books and Special CollectionsBorrow it
    401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US
    35.207487 -97.447906
  • Library Service CenterBorrow it
    2601 Technology Place, Norman, OK, 73019, US
    35.185561 -97.398361
  • Price College Digital LibraryBorrow it
    Adams Hall 102 307 West Brooks St., Norman, OK, 73019, US
    35.210371 -97.448244
  • Western History CollectionsBorrow it
    Monnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US
    35.209584 -97.445414
Processing Feedback ...