On the integral and globally irreducible representations of finite groups

Dmitry Malinin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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 (Formula presented.) of an algebraic number field (Formula presented.) we are interested in the question: what are the conditions for subgroups (Formula presented.) such that (Formula presented.), the (Formula presented.)-span of (Formula presented.), coincides with (Formula presented.), the ring of (Formula presented.)-matrices over (Formula presented.), and what are the minimal realization fields.

Original languageEnglish
JournalJournal of Algebra and Its Applications
DOIs
Publication statusAccepted/In press - 2017

Keywords

  • 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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