Groups with only two nonlinear non-faithful irreducible characters

Xiaoyou Chen; Mark L. Lewis

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 2, page 427-429
  • ISSN: 0011-4642

Abstract

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We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.

How to cite

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Chen, Xiaoyou, and Lewis, Mark L.. "Groups with only two nonlinear non-faithful irreducible characters." Czechoslovak Mathematical Journal 69.2 (2019): 427-429. <http://eudml.org/doc/294607>.

@article{Chen2019,
abstract = {We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.},
author = {Chen, Xiaoyou, Lewis, Mark L.},
journal = {Czechoslovak Mathematical Journal},
keywords = {non-faithful character; nonlinear character; finite group},
language = {eng},
number = {2},
pages = {427-429},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Groups with only two nonlinear non-faithful irreducible characters},
url = {http://eudml.org/doc/294607},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Chen, Xiaoyou
AU - Lewis, Mark L.
TI - Groups with only two nonlinear non-faithful irreducible characters
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 2
SP - 427
EP - 429
AB - We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.
LA - eng
KW - non-faithful character; nonlinear character; finite group
UR - http://eudml.org/doc/294607
ER -

References

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  1. Iranmanesh, A., Saeidi, A., Finite groups with a unique nonlinear nonfaithful irreducible character, Arch. Math., Brno 47 (2011), 91-98. (2011) Zbl1249.20009MR2813535
  2. Li, Y., Chen, X., Li, H., Finite p -groups with exactly two nonlinear non-faithful irreducible characters, To appear in Czech. Math. J. MR3923582
  3. Saeidi, A., 10.2478/s11533-013-0327-4, Cent. Eur. J. Math. 12 (2014), 79-83. (2014) Zbl1287.20013MR3121823DOI10.2478/s11533-013-0327-4
  4. Seitz, G., 10.1090/S0002-9939-1968-0222160-X, Proc. Am. Math. Soc. 19 (1968), 459-461. (1968) Zbl0244.20010MR0222160DOI10.1090/S0002-9939-1968-0222160-X
  5. Zhang, G., Finite groups with exactly two nonlinear irreducible characters, Chin. Ann. Math., Ser. A 17 (1996), 227-232 Chinese. (1996) Zbl0856.20008MR1397112

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