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2010, ISBN: 9781849965033

ID: 9781849965033

Group Identities on Units and Symmetric Units of Group Rings: Hardback: Springer London Ltd: 9781849965033: 01 Sep 2010: Since the late 1990s, many papers have examined symmetric units. This book presents results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies 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. 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. Algebra, , , , Group Identities on Units and Symmetric Units of Group Rings, Gregory T. Lee, 9781849965033, Springer London Ltd, , , , ,

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ISBN: 9781849965033

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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. Gregory T Lee, Books, Science and Nature, Group Identities on Units and Symmetric Units of Group Rings Books>Science and Nature, Springer London

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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. Mathematics Mathematics eBook, Springer

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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., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 243x166x23 mm, 200, [GW: 463g], Banküberweisung, PayPal

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ISBN: 9781849965033

ID: 9781849965033

Mathematics; Associative Rings and Algebras; Group Theory and Generalizations Group identities, Group rings, Involutions, Lie, Prime, Symmetric elements, Units, field, group, identity, polynomial, prime number, ring, set, torsion Books Book, Springer Science+Business Media

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Since the late 1990s, many papers have examined symmetric units. This book presents results for arbitrary group identities, as well as the conditions under which the unit group or the set of symmetric units satisfies particular group identities of interes Shipping costs: EUR 0.00
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** 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 17.07.2017 09:56:12

ISBN/EAN: 9781849965033

ISBN - alternate spelling:

1-84996-503-X, 978-1-84996-503-3

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