On the integral and globally irreducible representations of finite groups

DOI10.1142/S0219498818500871zbMath1494.20009OpenAlexW2613911581MaRDI QIDQ4639639

Dmitry Malinin

Publication date: 11 May 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818500871

zbMATH Keywords

finite groupsembedding problemalgebraic integersSteinitz classSchur ringglobally irreducible representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Integral representations of finite groups (20C10) Linear algebraic groups over global fields and their integers (20G30) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

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On integral representations of finite groups and rings generated by character values

Cites Work

• Realizability of two-dimensional linear groups over rings of integers of algebraic number fields.
• Finite groups over arithmetical rings and globally irreducible representations.
• On generalized integral representations over Dedekind rings
• Three letters to Walter Feit on group representations and quaternions.
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• Zur Geschlechtertheorie in quadratischen Zahlkörpern
• On integral absolutely irreducible representations of finite groups
• Group Representations and Lattices
• Finite Primitive Linear Groups of Prime Degree
• Zur Darstellung von -1 Als Summe von Quadraten in Einem Körper
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