SM-vanishing conjugacy classes of finite groups
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let G be a finite group. In this paper, we say that g is an element of G is an SM-vanishing element of G, if there exists a strongly monolithic character chi of G such that chi(g) = 0. The conjugacy class of an SM-vanishing element of G is called an SM-vanishing conjugacy class of G. Our purpose here is to prove that for determining some properties of the structure of the group G, it is enough to consider the same arithmetical conditions on the sizes of SM-vanishing conjugacy classes of G instead of certain arithmetical conditions on the sizes of vanishing conjugacy classes of G.
Açıklama
Anahtar Kelimeler
Finite Groups, Strongly Monolithic Characters, Vanishing Element, Conjugacy Class
Kaynak
Journal of Algebra and Its Applications
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
