On the integral and globally irreducible representations of finite groups

Dmitry Malinin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We consider the arithmetic of integral representations of finite groups over algebraic integers and the generalization of globally irreducible representations introduced by Van Oystaeyen and Zalesskii. For the ring of integers OK of an algebraic number field K we are interested in the question: what are the conditions for subgroups G ⊂ GL(n,OK) such that OKG, the OK-span of G, coincides with M(n,OK), the ring of (n × n)-matrices over OK, and what are the minimal realization fields.

Original languageEnglish
Article number1850087
JournalJournal of Algebra and its Applications
Issue number5
Publication statusPublished - May 1 2018
Externally publishedYes


  • Algebraic integers
  • Embedding problem
  • Finite groups
  • Globally irreducible representations
  • Schur ring
  • Steinitz class

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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