Some remarks on Dade's conjecture.
Hassan, Nabila Mohamed, Horváth, Erzsébet (1998)
Mathematica Pannonica
Similarity:
Hassan, Nabila Mohamed, Horváth, Erzsébet (1998)
Mathematica Pannonica
Similarity:
Yakov Berkovich (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.
Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)
Czechoslovak Mathematical Journal
Similarity:
For a finite group and a non-linear irreducible complex character of write . In this paper, we study the finite non-solvable groups such that consists of at most two conjugacy classes for all but one of the non-linear irreducible characters of . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable -groups. As a corollary, we answer Research Problem in [Y. Berkovich and L. Kazarin:...
Pál Hegedűs (2013)
Open Mathematics
Similarity:
This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.
Michel Broué, Lluis Puig (1980)
Inventiones mathematicae
Similarity:
Burkhard Külshammer (1990)
Journal für die reine und angewandte Mathematik
Similarity:
Paul Fong, Bhama Srinivasan (1982)
Inventiones mathematicae
Similarity:
B. Rokowska (1977)
Colloquium Mathematicae
Similarity:
Shigeo Koshitani (1982)
Mathematische Zeitschrift
Similarity:
Amin Saeidi (2014)
Open Mathematics
Similarity:
In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.