ON THE ORDERS OF ZEROS OF STRONGLY MONOLITHIC CHARACTERS
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.113, sa.3, ss.475-482, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 113 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.1017/s0004972725100622
- Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Sayfa Sayıları: ss.475-482
- Anahtar Kelimeler: finite groups, strongly monolithic characters, vanishing element
- İstanbul Üniversitesi Adresli: Evet
Özet
Let G be a finite group and p be a prime number. An element g of G is called an $\mathrm {SM}<^>*$ -vanishing element of G if there exists a strongly monolithic character $\chi $ of G satisfying $Z(\chi )=\ker \chi $ and $\chi (g)=0$ . In this paper, we present some results on the relationship between the orders of $\mathrm {SM}<^>*$ -vanishing elements of G and the structure of G.