Technical Group Identities on Units and Symmetric Units of Group Rings (184996503X)

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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.

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	Science/Engineering Groups, Rings and Group Rings (Lecture Notes in Pure and Applied Mathematics) Groups, Rings and Group Rings (Lecture Notes in Pure and Applied Mathematics): Antonio Giambruno, Cesar Polcino Milies, Sudarshan K. Sehgal Chapman and Hall/CRC \| ISBN: 1584885815 \| 2006-01-20 \| PDF (OCR) \| 368 pages \| 8.26 Mb This book is ...
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	Technical Lambda-Rings and the Representation Theory of the Symmetric Group Lambda-Rings and the Representation Theory of the Symmetric GroupSpringer-Verlag GmbH \| 2007-12 \| ISBN: 3540061843 \| 212 Pages \| PDF \| 5.07 Mb DepositfilesMirror

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