| 000 | 02323nam a22004098a 4500 | ||
|---|---|---|---|
| 001 | CR9780511525971 | ||
| 003 | UkCbUP | ||
| 005 | 20160624102257.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 090406s1993||||enk s ||1 0|eng|d | ||
| 020 | _a9780511525971 (ebook) | ||
| 020 | _z9780521397391 (paperback) | ||
| 040 |
_aUkCbUP _cUkCbUP _erda |
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| 050 | 0 | 0 |
_aQA177 _b.M36 1993 |
| 082 | 0 | 0 |
_a512/.2 _220 |
| 100 | 1 |
_aManz, Olaf, _eauthor. |
|
| 245 | 1 | 0 |
_aRepresentations of Solvable Groups / _cOlaf Manz, Thomas R. Wolf. |
| 260 | 1 |
_aCambridge : _bCambridge University Press, _c1993. |
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| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1993. |
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| 300 |
_a1 online resource (316 pages) : _bdigital, PDF file(s). |
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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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| 490 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 185 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). | ||
| 520 | _aRepresentation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer. | ||
| 650 | 0 | _aSolvable groups | |
| 650 | 0 | _aRepresentations of groups | |
| 650 | 0 | _aPermutation groups | |
| 700 | 1 |
_aWolf, Thomas R., _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521397391 |
| 786 | _dCambridge | ||
| 830 | 0 |
_aLondon Mathematical Society Lecture Note Series ; _vno. 185. |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1017/CBO9780511525971 |
| 942 |
_2EBK12023 _cEBK |
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| 999 |
_c41317 _d41317 |
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