Finite Groups with a Given Set of Character Degrees

Autor:	Kamal Aziziheris, Ali Iranmanesh, Mark L. Lewis, Farideh Shafiei
Rok vydání:	2015
Předmět:	Discrete mathematics Finite group Degree (graph theory) General Mathematics 010102 general mathematics 010103 numerical & computational mathematics 01 natural sciences Combinatorics Set (abstract data type) Character (mathematics) Integer Solvable group 0101 mathematics Mathematics
Zdroj:	Algebras and Representation Theory. 19:335-354
ISSN:	1572-9079 1386-923X
Popis:	Let G be a finite group with {1, q, r, qm, q 2 m, rqm} as the character degree set, where r and q are distinct primes and m>1 is an integer not divisible by q or r. We show that G is solvable and the derived length of G equals 3.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ce48d907d431e340e312988c2407a8c0 https://doi.org/10.1007/s10468-015-9576-1 Zobrazit plný text záznamu Full text from SpringerLink