| 000 | 02545nam a22004455i 4500 | ||
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| 001 | u372939 | ||
| 003 | SIRSI | ||
| 005 | 20160812084122.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100825s2010 xxk| s |||| 0|eng d | ||
| 020 |
_a9781849965040 _9978-1-84996-504-0 |
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| 040 | _cMX-MeUAM | ||
| 050 | 4 | _aQA251.5 | |
| 082 | 0 | 4 |
_a512.46 _223 |
| 100 | 1 |
_aLee, Gregory T. _eauthor. |
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| 245 | 1 | 0 |
_aGroup Identities on Units and Symmetric Units of Group Rings _h[recurso electrónico] / _cby Gregory T. Lee. |
| 264 | 1 |
_aLondon : _bSpringer London, _c2010. |
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| 300 |
_aXII, 196 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aAlgebra and Applications ; _v12 |
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| 505 | 0 | _aGroup Identities on Units of Group Rings -- Group Identities on Symmetric Units -- Lie Identities on Symmetric Elements -- Nilpotence of and. | |
| 520 | _aLet 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. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aGroup theory. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAssociative Rings and Algebras. |
| 650 | 2 | 4 | _aGroup Theory and Generalizations. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781849965033 |
| 830 | 0 |
_aAlgebra and Applications ; _v12 |
|
| 856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-84996-504-0 |
| 596 | _a19 | ||
| 942 | _cLIBRO_ELEC | ||
| 999 |
_c200819 _d200819 |
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