Öz
Destekleyen Kurum
TÜBİTAK
Proje Numarası
119F295
Kaynakça
- [1] Y. Berkovich, I.M. Isaacs and L. Kazarin, Groups with distinct monolithic character degrees, J. Algebra 216, 448-480, 1999.
- [2] Y.G. Berkovich and E.M. Zhmud, On Isaacs’ three character degrees theorem, Proc. Am. Math. Soc. 125 (3), 669-677, 1997.
- [3] Y.G. Berkovich and E.M. Zhmud, Characters of Finite Groups Part 2, American Mathematical Society, 1999.
- [4] T. Erkoç and B. Çınarcı, Monolithic characters of real groups, Comm. Algebra 49 (8), 3192-3199, 2021.
- [5] T. Erkoç and B. Çınarcı, Finite solvable groups with few imprimitive irreducible characters, J. Algebra Appl. 2020. https://doi.org/10.1142/S0219498822500669.
- [6] I.M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, 1976.
- [7] O. Manz and T.R. Wolf, Representations of Solvable Groups, London Mathematical Society Lecture Note Series 185, Cambridge University Press, Cambridge, 1993.
- [8] G.M. Seitz, Finite groups having only one irreducible representation of degree greater than one, Proc. Am. Math. Soc. 19, 459-461, 1968.
Öz
In this paper, we are interested in the classification of finite solvable groups having primitive characters of degree two. We first determine all finite solvable groups having both a faithful primitive character of degree two and a faithful real-valued irreducible character. Then we classify all finite solvable groups having at most five nonlinear monolithic characters one of which is primitive of degree two.
Anahtar Kelimeler
Solvable groups Primitive characters Monolithic characters Real-valued Character
Proje Numarası
119F295
Kaynakça
- [1] Y. Berkovich, I.M. Isaacs and L. Kazarin, Groups with distinct monolithic character degrees, J. Algebra 216, 448-480, 1999.
- [2] Y.G. Berkovich and E.M. Zhmud, On Isaacs’ three character degrees theorem, Proc. Am. Math. Soc. 125 (3), 669-677, 1997.
- [3] Y.G. Berkovich and E.M. Zhmud, Characters of Finite Groups Part 2, American Mathematical Society, 1999.
- [4] T. Erkoç and B. Çınarcı, Monolithic characters of real groups, Comm. Algebra 49 (8), 3192-3199, 2021.
- [5] T. Erkoç and B. Çınarcı, Finite solvable groups with few imprimitive irreducible characters, J. Algebra Appl. 2020. https://doi.org/10.1142/S0219498822500669.
- [6] I.M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, 1976.
- [7] O. Manz and T.R. Wolf, Representations of Solvable Groups, London Mathematical Society Lecture Note Series 185, Cambridge University Press, Cambridge, 1993.
- [8] G.M. Seitz, Finite groups having only one irreducible representation of degree greater than one, Proc. Am. Math. Soc. 19, 459-461, 1968.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | 119F295 |
| Yayımlanma Tarihi | 14 Şubat 2022 |
| Yayımlandığı Sayı | Yıl 2022 Cilt: 51 Sayı: 1 |