Induced morphisms between localization genera of groups

J. C. Mba, P. J. Witbooi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


For a certain class of groups under a given finite group F, we define and compute genus groups, which coincide with the known genus groups in the case that F is the trivial group. We prove the existence of various induced homomorphisms between genus groups. We discover an induced morphism arising from factoring out a finite normal subgroup.

Original languageEnglish
Pages (from-to)285-294
Number of pages10
JournalAlgebra Colloquium
Issue number2
Publication statusPublished - Jun 2014
Externally publishedYes


  • Groups under a finite group
  • Localization
  • Restricted genus

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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