On integral absolutely irreducible representations of finite groups

Dmitry Malinin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We consider the arithmetic background of integral representations of finite groups over p-adic and algebraic number rings. Some infinite series of integral pairwise inequivalent absolutely irreducible representations of finite p-groups with the extra congruence conditions are constructed, and some applications are given. Certain problems concerning integral irreducible two-dimensional representations over number rings are discussed.

Original languageEnglish
Article number1650048
JournalJournal of Algebra and its Applications
Issue number3
Publication statusPublished - Apr 1 2016
Externally publishedYes


  • Galois groups
  • Integral representations
  • Schur Ring
  • globally irreducible representations
  • local fields
  • p -groups
  • quaternions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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