Classical Groups, Derangements and Primes
作者: Timothy C. BurnessMichael Giudici
作者单位: University of Bristol;;University of Western Australia, Perth
英文丛书称: Australian Mathematical Society Lecture Series
出版社: Cambridge University Press,   2016
ISBN: 9781139059060
来源数据库: Cambridge University Press
DOI: 10.1017/CBO9781139059060
原始语种摘要: A 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...
全文获取路径: Cambridge U Press  (合作)
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关键词翻译
关键词翻译
  • conjugacy 共轭性
  • transitive 过渡的
  • classical 经典的
  • permutation 置换
  • divisor 
  • mathematics 数学
  • algebra 代数学
  • existence 存在
  • derangement 错位排列
  • graph 图表