Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Arbitrary functions in group theory

      Hawthorn, Ian; Guo, Yue
      Thumbnail
      Files
      NZJMaths-45.pdf
      Published version, 239.7Kb
      Link
       nzjm.math.auckland.ac.nz
      Find in your library  
      Citation
      Export citation
      Hawthorn, I., & Guo, Y. (2015). Arbitrary functions in group theory. New Zealand Journal of Mathematics, 45, 1–9.
      Permanent Research Commons link: https://hdl.handle.net/10289/9475
      Abstract
      Two measures of how near an arbitrary function between groups is to being a homomorphism are considered. These have properties similar to conjugates and commutators. The authors show that there is a rich theory based on these structures, and that this theory can be used to unify disparate approaches such as group cohomology and the transfer and to prove theorems. The proof of the Schur-Zassenhaus theorem is recast in this context. We also present yet another proof of Cauchy’s theorem and a very quick approach to Sylow’s theorem.
      Date
      2015
      Type
      Journal Article
      Publisher
      NZMS
      Rights
      This article has been published in the journal: New Zealand journal of mathematics. Used with permission.
      Collections
      • Computing and Mathematical Sciences Papers [1454]
      Show full item record  

      Usage

      Downloads, last 12 months
      22
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement