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The polynomial functions on certain semidirect products of groups

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Abstract

We compute the unary polynomial functions on groups that arise as semidirect products of two groups $A, B$ with the property that every element of $B$ operates on $A$ by conjugation either trivially or as a fixed-point-free automorphism; in many cases, we obtain the number of polynomial functions on these groups.
Original languageEnglish
Number of pages19
JournalActa Scientiarum Mathematicarum
Publication statusPublished - 2002

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101013 Mathematical logic
  • 102031 Theoretical computer science

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