Yayınlanmış 1 Ocak 2021
| Sürüm v1
Dergi makalesi
Açık
Monolithic characters of real groups
Oluşturanlar
- 1. Istanbul Univ, Dept Math, Fac Sci, Istanbul, Turkey
- 2. Piri Reis Univ, Dept Marine Engn, Maritime Fac, Istanbul, Turkey
Açıklama
In this article, we are concerned with the nonlinear primitive and monolithic characters of a finite real group. We give some criteria for determining whether or not a finite group is real by using its monolithic characters. Also, we classify all finite real groups which have at most two nonlinear monolithic characters and obtain a result for real groups with three nonlinear monolithic characters. Finally, we prove that there are not any nonlinear primitive irreducible characters of a finite solvable real group having at most five nonlinear monolithic characters.
Dosyalar
bib-7c2778c3-5cc8-4397-97f0-af54fd2ec3f1.txt
Dosyalar
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