| 000 | 02464nam a22003858i 4500 | ||
|---|---|---|---|
| 001 | CR9780511897344 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160211.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 101123s1986||||enk o ||1 0|eng|d | ||
| 020 | _a9780511897344 (ebook) | ||
| 020 | _z9780521256612 (hardback) | ||
| 020 | _z9780521090650 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA174.2 _b.T48 1986 |
| 082 | 0 | 0 |
_a512/.2 _219 |
| 100 | 1 |
_aThomas, C. B. _q(Charles Benedict), _eauthor. |
|
| 245 | 1 | 0 |
_aCharacteristic classes and the cohomology of finite groups / _cC.B. Thomas. |
| 246 | 3 | _aCharacteristic Classes & the Cohomology of Finite Groups | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1986. |
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| 300 |
_a1 online resource (xii, 129 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 | 1 |
_aCambridge studies in advanced mathematics ; _v9 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThe purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in which he gives a purely topological proof of the Riemann - Roch formula. | ||
| 650 | 0 | _aFinite groups. | |
| 650 | 0 | _aHomology theory. | |
| 650 | 0 | _aCharacteristic classes. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521256612 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v9. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511897344 |
| 999 |
_c515857 _d515855 |
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