Title:
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Finite groups with two rows which differ in only one entry in character tables (English) |
Author:
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Wang, Wenyang |
Author:
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Du, Ni |
Language:
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English |
Journal:
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Czechoslovak Mathematical Journal |
ISSN:
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0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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71 |
Issue:
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3 |
Year:
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2021 |
Pages:
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655-662 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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:
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finite group |
Keyword:
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irreducible character |
Keyword:
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character table |
MSC:
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20C15 |
idZBL:
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07396189 |
idMR:
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MR4295237 |
DOI:
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10.21136/CMJ.2021.0482-19 |
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Date available:
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2021-08-02T08:01:46Z |
Last updated:
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2023-10-02 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/149048 |
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Reference:
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[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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