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Title: Finite groups with two rows which differ in only one entry in character tables (English)
Author: Wang, Wenyang
Author: Du, Ni
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 71
Issue: 3
Year: 2021
Pages: 655-662
Summary lang: English
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Category: math
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Summary: Let $G$ be a finite group. If $G$ has two rows which differ in only one entry in the character table, we call $G$ an RD1-group. We investigate the character tables of RD1-groups and get some necessary and sufficient conditions about RD1-groups. (English)
Keyword: finite group
Keyword: irreducible character
Keyword: character table
MSC: 20C15
idZBL: 07396189
idMR: MR4295237
DOI: 10.21136/CMJ.2021.0482-19
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Date available: 2021-08-02T08:01:46Z
Last updated: 2023-10-02
Stable URL: http://hdl.handle.net/10338.dmlcz/149048
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Reference: [1] Bianchi, M., Herzog, M.: Finite groups with non-trivial intersections of kernels of all but one irreducible characters.Int. J. Group Theory 7 (2018), 63-80. Zbl 1446.20015, MR 3757269, 10.22108/ijgt.2017.21609
Reference: [2] Chillag, D.: On zeros of characters of finite groups.Proc. Am. Math. Soc. 127 (1999), 977-983. Zbl 0917.20007, MR 1487363, 10.1090/S0002-9939-99-04790-5
Reference: [3] S. M. Gagola, Jr.: Characters vanishing on all but two conjugacy classes.Pac. J. Math. 109 (1983), 363-385. Zbl 0536.20005, MR 721927, 10.2140/pjm.1983.109.363
Reference: [4] Grove, L. C.: Groups and Characters.Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts. John Wiley & Sons, New York (1997). Zbl 0896.20001, MR 1451623, 10.1002/9781118032688
Reference: [5] Isaacs, I. M.: Character Theory of Finite Groups.Academic Press, New York (1976). Zbl 0337.20005, MR 0460423, 10.1090/chel/359
Reference: [6] James, G., Liebeck, M.: Representations and Characters of Groups.Cambridge University Press, New York (2001). Zbl 0981.20004, MR 1864147, 10.1017/CBO9780511814532
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