On integral absolutely irreducible representations of finite groups

Dmitry Malinin

doi:10.1142/S0219498816500481

On integral absolutely irreducible representations of finite groups

Dmitry Malinin

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Article number	1650048
Journal	Journal of Algebra and its Applications
Volume	15
Issue number	3
DOIs	https://doi.org/10.1142/S0219498816500481
Publication status	Published - Apr 1 2016
Externally published	Yes

Keywords

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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10.1142/S0219498816500481

Cite this

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title = "On integral absolutely irreducible representations of finite groups",

abstract = "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.",

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AB - 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.

KW - Galois groups

KW - Integral representations

KW - Schur Ring

KW - globally irreducible representations

KW - local fields

KW - p -groups

KW - quaternions

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DO - 10.1142/S0219498816500481

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JO - Journal of Algebra and its Applications

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ER -

On integral absolutely irreducible representations of finite groups

Abstract

Keywords

ASJC Scopus subject areas

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