| 000 | 02483nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781139059060 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160212.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110321s2016||||enk o ||1 0|eng|d | ||
| 020 | _a9781139059060 (ebook) | ||
| 020 | _z9781107629448 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA9 _b.B856 2016 |
| 082 | 0 | 0 |
_a512.7 _223 |
| 100 | 1 |
_aBurness, Timothy C., _d1979- _eauthor. |
|
| 245 | 1 | 0 |
_aClassical groups, derangements, and primes / _cTimothy C. Burness, University of Bristol, Michael Giudici, University of Western Australia, Perth. |
| 246 | 3 | _aClassical Groups, Derangements & Primes | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2016. |
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| 300 |
_a1 online resource (xviii, 346 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aAustralian Mathematical Society lecture series ; _v25 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 01 Jan 2016). | ||
| 520 | _aA classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups. | ||
| 650 | 0 | _aLogic, Symbolic and mathematical. | |
| 650 | 0 | _aGroup theory. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aNumbers, Prime. | |
| 700 | 1 |
_aGiudici, Michael, _d1976- _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9781107629448 |
| 830 | 0 |
_aAustralian Mathematical Society lecture series ; _v25. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139059060 |
| 999 |
_c515923 _d515921 |
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