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An isolic generalization of Cauchy's theorem for finite groups
Authors:J. C. E. Dekker
Affiliation:1. Rutgers University, 08903, New Brunswick, NJ, USA
Abstract:In his note [5] Hausner states a simple combinatorial principle, namely:

$$(H)left{ {begin{array}{*{20}c}   {if f is a function a non - empty finite set sigma  into itself, p a}     {prime, f^p  = i_sigma   and sigma _0  the set of fixed points of f, then  }     {left| sigma  right| equiv left| {sigma _0 } right|(mod p).}  end{array}} right.$$
Keywords:  KeywordHeading"  >1980 Mathematics Subject Classification 03 D50
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