ISBN: 9781849965033
ID: 9781849965033
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. Group Identities on Units and Symmetric Units of Group Rings: 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. Analysis Calculus Algebra / Gruppe (mathematisch) Gruppe (mathematisch) - Gruppentheorie Gruppentheorie ( Gruppe (mathematisch) ), Springer-Verlag Gmbh
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2010, ISBN: 9781849965033
[ED: Gebunden, 1/2010,200 S.], [PU: Springer-verlag Gmbh], - 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., [SC: 17.50]
Booklooker.de |
ISBN: 9781849965033
[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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., [SC: 6.00]
Booklooker.de |
2010, ISBN: 9781849965033
[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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.
Booklooker.de |
ISBN: 9781849965033
[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - 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.
Booklooker.de |
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Title: | Group Identities on Units and Symmetric Units of Group Rings |
ISBN: | 184996503X |
Details of the book - Group Identities on Units and Symmetric Units of Group Rings
EAN (ISBN-13): 9781849965033
ISBN (ISBN-10): 184996503X
Hardcover
Publishing year: 2010
Publisher: Springer-Verlag GmbH
200 Pages
Weight: 0,463 kg
Language: eng/Englisch
Book in our database since 21.01.2007 16:17:36
Book found last time on 01.02.2016 17:48:00
ISBN/EAN: 184996503X
ISBN - alternate spelling:
1-84996-503-X, 978-1-84996-503-3
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