Finite groups all of whose proper subgroups have few character values-Reference-Cited by-同舟云学术

Finite groups all of whose proper subgroups have few character values

Published:2023 Issue:4 Volume:8 Page:9074-9081
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Liu Shitian¹,Zhang Runshi²

Affiliation:

1. School of Mathematics, Lianhu Campus, Sichuan Institute of Arts and Science Dazhou Sichuan 635000, China

2. School of Mathematical Science and Statistics Sichuan University of Science and Engineering Zigong Sichuan 643000, China

Abstract

<abstract><p>In this paper, the structures of non-solvable groups whose all proper subgroups have at most seven character values are identified.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference27 articles.

1. Y. Berkovich, D. Chillag, E. Zhmud, Finite groups in which all nonlinear irreducible characters have three distinct values, Houston J. Math., 21 (1995), 17–28.

2. M. Bianchi, D. Chillag, A. Gillio, Finite groups with many values in a column or a row of the character table, Publ. Math. Debrecen, 693 (2006), 281–290. https://doi.org/10.5486/PMD.2006.3523

3. J. N. Bray, D. F. Holt, C. M. Roney-Dougal, The maximal subgroups of the low-dimensional finite classical groups, Cambridge: Cambridge University Press, 2013. https://doi.org/10.1017/CBO9781139192576

4. T. Breuer, The GAP character table library, Version 1.2.1, 2012. Available from: http://www.math.rwth-aachen.de/Thomas.Breuer/ctbllib.

5. J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, R. A. Wilson, Atlas of finite groups, Eynsham: Oxford University Press, 1985.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Finite Groups Whose Numbers of Real-valued Character Degrees of All Proper Subgroups Are at Most Two;Proceedings of the Bulgarian Academy of Sciences;2023-07-31