On a generalization of M-group

Tung Le; Jamshid Moori; Hung P. Tong-Viet

doi:10.1016/j.jalgebra.2012.10.018

On a generalization of M-group

Tung Le
, Jamshid Moori
, Hung P. Tong-Viet

Mathematics and Statistics

Binghamton University

North West University

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

7 Scopus citations

Abstract

In this paper, we show that if for every nonlinear complex irreducible character χ of a finite group G, some multiple of χ is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's theorem on the solvability of M-group.

Original language	English
Pages (from-to)	27-41
Number of pages	15
Journal	Journal of Algebra
Volume	374
DOIs	https://doi.org/10.1016/j.jalgebra.2012.10.018
State	Published - Jan 15 2013

Keywords

M-groups
Multiply imprimitive characters
Solvable groups

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10.1016/j.jalgebra.2012.10.018

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title = "On a generalization of M-group",

abstract = "In this paper, we show that if for every nonlinear complex irreducible character χ of a finite group G, some multiple of χ is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's theorem on the solvability of M-group.",

keywords = "M-groups, Multiply imprimitive characters, Solvable groups",

author = "Tung Le and Jamshid Moori and Tong-Viet, \{Hung P.\}",

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doi = "10.1016/j.jalgebra.2012.10.018",

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T1 - On a generalization of M-group

AU - Le, Tung

AU - Moori, Jamshid

AU - Tong-Viet, Hung P.

PY - 2013/1/15

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N2 - In this paper, we show that if for every nonlinear complex irreducible character χ of a finite group G, some multiple of χ is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's theorem on the solvability of M-group.

AB - In this paper, we show that if for every nonlinear complex irreducible character χ of a finite group G, some multiple of χ is induced from an irreducible character of some proper subgroup of G, then G is solvable. This is a generalization of Taketa's theorem on the solvability of M-group.

KW - M-groups

KW - Multiply imprimitive characters

KW - Solvable groups

UR - https://www.scopus.com/pages/publications/84869067980

U2 - 10.1016/j.jalgebra.2012.10.018

DO - 10.1016/j.jalgebra.2012.10.018

M3 - Article

SN - 0021-8693

VL - 374

SP - 27

EP - 41

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On a generalization of M-group

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Keywords

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