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Decomposable Groups with Few Nonlinear Irreducible Character Kernels.

Authors :
Li, Yali
Wang, Xue
Meng, Qingyun
Source :
Bulletin of the Iranian Mathematical Society. Oct2024, Vol. 50 Issue 5, p1-9. 9p.
Publication Year :
2024

Abstract

Let Kern (G) denote the set of nonlinear irreducible character kernels of a finite group G. In this paper, we classify decomposable groups G with | Kern (G) | ≤ 3 . In particular, nilpotent groups G with | Kern (G) | ≤ 3 are determined. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10186301
Volume :
50
Issue :
5
Database :
Academic Search Index
Journal :
Bulletin of the Iranian Mathematical Society
Publication Type :
Academic Journal
Accession number :
179249917
Full Text :
https://doi.org/10.1007/s41980-024-00902-y