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FINITE SOLVABLE GROUPS WITH DISTINCT MONOMIAL CHARACTER DEGREES

Part of: Representation theory of groups

Published online by Cambridge University Press:  04 September 2019

GUOHUA QIAN  and
YONG YANG
GUOHUA QIAN*
Affiliation:
Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu215500, China email ghqian2000@163.com
YONG YANG*
Affiliation:
Department of Mathematics, Texas State University, San Marcos, TX78666, USA Key Laboratory of Group and Graph Theories and Applications, Chongqing University of Arts and Sciences, Chongqing402160, China email yang@txstate.edu
*
✉ email ghqian2000@163.com
✉ email yang@txstate.edu
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Abstract

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In this paper we classify the finite solvable groups in which distinct nonlinear monomial characters have distinct degrees.

Keywords

solvable groupsmonomial characterscharacter degrees

MSC classification

Primary: 20C15: Ordinary representations and characters

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 108 , Issue 3 , June 2020 , pp. 387 - 401
Copyright
© 2019 Australian Mathematical Publishing Association Inc.

Footnotes

†

Email addresses for correspondence: email ghqian2000@163.com, yang@txstate.edu.

Project supported by NSF of China (nos 11471054, 11671063, and 11871011), NSF of Jiangsu Province (no. BK20161265), Natural Science Foundation of Chongqing (cstc2016jcyjA0065, cstc2018jcyjAX0060), and a grant from the Simons Foundation (no. 499532).

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