In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of...In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G＇ as a modular Frobenius kernel has no more than four conjugacy classes in G.展开更多
In this article, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type ET（q）. More precisely, we show that every finite group G with the properties Z（G） = 1 and cs（G） = cs（ET（q）...In this article, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type ET（q）. More precisely, we show that every finite group G with the properties Z（G） = 1 and cs（G） = cs（ET（q）） is necessarily isomorphic to ET（q）, where cs（G） and Z（G） are the set of lengths of conjugacy classes of G and the center of G respectively.展开更多
基金Supported by the National Natural Science Foundation of China (11171243, 11201385)the Technology Project of Department of Education of Fujian Province(JA12336)+1 种基金the Fundamental Research Funds for the Central Universities (2010121003)the Science and the Natural Science Foundation of Fujian Province (2011J01022)
文摘In this article, we first investigate the properties of modular Frobenius groups. Then, we consider the case that G＇ is a minimal normal subgroup of a modular Frobenius group G. We give the complete classification of G when G＇ as a modular Frobenius kernel has no more than four conjugacy classes in G.
基金supported by National Natural Science Foundation of China(Grant Nos.11171118,10961007 and 11171364)the Innovation Foundation of Chongqing University(Grant No.KJTD201321)
文摘In this article, we prove a conjecture of Thompson for an infinite class of simple groups of Lie type ET（q）. More precisely, we show that every finite group G with the properties Z（G） = 1 and cs（G） = cs（ET（q）） is necessarily isomorphic to ET（q）, where cs（G） and Z（G） are the set of lengths of conjugacy classes of G and the center of G respectively.
