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Group Identities on Units and Symmetric Units of Group Rings: 33 (Algebra and Applications, 33) - Tapa dura
Sinopsis
This book presents the 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. 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.
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This book presents the 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. 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.
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Group Identities on Units and Symmetric Units of Group Rings (Algebra and Applications, 33)
Librería: Studibuch, Stuttgart, Alemania
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hardcover. Condición: Sehr gut. 273 Seiten; 9783032046192.2 Gewicht in Gramm: 1. Nº de ref. del artículo: 1063500
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Group Identities on Units and Symmetric Units of Group Rings (eng)
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Condición: new. Questo è un articolo print on demand. Nº de ref. del artículo: 0USR59DXWP
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Group Identities on Units and Symmetric Units of Group Rings
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Springer-Verlag Gmbh Nov 2025, 2025
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents the 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. 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. 253 pp. Englisch. Nº de ref. del artículo: 9783032046192
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Group Identities on Units and Symmetric Units of Group Rings
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Nº de ref. del artículo: 2555001439
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Group Identities on Units and Symmetric Units of Group Rings (Hardcover)
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Hardcover. Condición: new. Hardcover. This book presents the 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9783032046192
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Group Identities on Units and Symmetric Units of Group Rings
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents the 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. 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. Nº de ref. del artículo: 9783032046192
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Group Identities on Units and Symmetric Units of Group Rings
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ISBN 10: 303204619X
ISBN 13: 9783032046192
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents the 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. 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 276 pp. Englisch. Nº de ref. del artículo: 9783032046192
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Group Identities on Units and Symmetric Units of Group Rings (Algebra and Applications, 33)
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Group Identities on Units and Symmetric Units of Group Rings (Algebra and Applications, 33)
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Group Identities on Units and Symmetric Units of Group Rings (Algebra and Applications, 33)
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