CrossRef
Open Access
2021
17 sitasi
NONDIVISIBILITY AMONG IRREDUCIBLE CHARACTER CO-DEGREES
NEDA AHANJIDEH
Abstrak
AbstractFor a character$\chi $of a finite groupG, the number$\chi ^c(1)={[G:{\textrm {ker}}\chi ]}/{\chi (1)}$is called the co-degree of$\chi $. A finite groupGis an${\textrm {NDAC}} $-group (no divisibility among co-degrees) when$\chi ^c(1) \nmid \phi ^c(1)$for all irreducible characters$\chi $and$\phi $ofGwith$1< \chi ^c(1) < \phi ^c(1)$. We study finite groups admitting an irreducible character whose co-degree is a given primepand finite nonsolvable${\textrm {NDAC}} $-groups. Then we show that the finite simple groups$^2B_2(2^{2f+1})$, where$f\geq 1$,$\mbox {PSL}_3(4)$,${\textrm {Alt}}_7$and$J_1$are determined uniquely by the set of their irreducible character co-degrees.
Penulis (1)
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NEDA AHANJIDEH
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
- Bahasa
- en
- Total Sitasi
- 17×
- Sumber Database
- CrossRef
- DOI
- 10.1017/s000497272100037x
- Akses
- Open Access ✓