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Group Identities on Units and Symmetric Units of Group Rings - Gregory T. Lee
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Gregory T. Lee:

Group Identities on Units and Symmetric Units of Group Rings - gebunden oder broschiert

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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Group Identities on Units and Symmetric Units of Group Rings - Lee Gregory T.
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Lee Gregory T.:

Group Identities on Units and Symmetric Units of Group Rings - gebunden oder broschiert

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]

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Group Identities on Units and Symmetric Units of Group Rings - Gregory T. Lee
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Gregory T. Lee:
Group Identities on Units and Symmetric Units of Group Rings - neues Buch

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]

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Group Identities on Units and Symmetric Units of Group Rings - Gregory T. Lee
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Gregory T. Lee:
Group Identities on Units and Symmetric Units of Group Rings - neues Buch

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.

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(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Group Identities on Units and Symmetric Units of Group Rings - Gregory T. Lee
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Gregory T. Lee:
Group Identities on Units and Symmetric Units of Group Rings - neues Buch

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.

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Group Identities on Units and Symmetric Units of Group Rings
Autor:

Lee, Gregory T.

Titel:

Group Identities on Units and Symmetric Units of Group Rings

ISBN-Nummer:

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.

Detailangaben zum Buch - Group Identities on Units and Symmetric Units of Group Rings


EAN (ISBN-13): 9781849965033
ISBN (ISBN-10): 184996503X
Gebundene Ausgabe
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
200 Seiten
Gewicht: 0,463 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 21.01.2007 16:17:36
Buch zuletzt gefunden am 01.02.2016 17:48:00
ISBN/EAN: 9781849965033

ISBN - alternative Schreibweisen:
1-84996-503-X, 978-1-84996-503-3

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