Finite Groups with Character Degrees of Two Distinct Primes  

作　　者：CHEN Shengan FAN Yun SHUM Karpin 

机构地区：[1]School of Mathematics trod Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]Department of Mathematics, Xianning College, Xianning 437005, Hubei, China [3]Department of Mathematics, Chinese University of Hong Kong, Hong Kong, China

出　　处：《Wuhan University Journal of Natural Sciences》2006年第2期343-345,共3页武汉大学学报（自然科学英文版）

基　　金：SupportedbytheNationalBasicResearchProgram(973ProgramG1999075102),theKeyProjectofXianningCollege(2004)andUGC(HK)Grant(2160210)

摘　　要：It is proved that if the degree of any non-linear irreducible character of a finite group G is a product of powers of two given distinct prime integers p and q, then G has an abelian Hall {p, q} subgroup H and an Abelian normal {p, q} complement A, and the centralizer in A of the Sylow p-subgroup of G is equal to the centralizer in A of the Sylow q-subgroup of G.It is proved that if the degree of any non-linear irreducible character of a finite group G is a product of powers of two given distinct prime integers p and q, then G has an abelian Hall {p, q} subgroup H and an Abelian normal {p, q} complement A, and the centralizer in A of the Sylow p-subgroup of G is equal to the centralizer in A of the Sylow q-subgroup of G.

关 键 词：degree of character Ahelian normal π-complement CENTRALIZER semi-direct product 

分 类 号：O153.1[理学—数学]