广西师范大学学报(自然科学版)
廣西師範大學學報(自然科學版)
엄서사범대학학보(자연과학판)
JOURNAL OF GUANGXI NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
3期
52-56
,共5页
有限群%循环子群%非可解群
有限群%循環子群%非可解群
유한군%순배자군%비가해군
finite group%cyclic subgroup%non-solvable group
本文完全刻画非平凡循环子群共轭类类数不大于2的有限群的结构,证明了非平凡循环子群共轭类类数不大于4的有限非可解群仅有 PSL2(r ),其中 r =5,7,8,9.
本文完全刻畫非平凡循環子群共軛類類數不大于2的有限群的結構,證明瞭非平凡循環子群共軛類類數不大于4的有限非可解群僅有 PSL2(r ),其中 r =5,7,8,9.
본문완전각화비평범순배자군공액류류수불대우2적유한군적결구,증명료비평범순배자군공액류류수불대우4적유한비가해군부유 PSL2(r ),기중 r =5,7,8,9.
The structures of finite groups having at most two conjugacy classes of non-trivial cyclic sub-groups are completely characterized.It is proven that a finite non-solvable group G having at most four conjugacy classes of non-trivial cyclic subgroups must be isomorphic to PSL2 (r ),where r =5,7,8,9.