內(nèi)交換子群的階均是P3的有限p群

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1、?:：UDC:??：10118??????????P3??▲P????????????"____________#$%&??(?*+,-2014.3?31,(?01,2014.5?17,?2????2,-2014.?,014?6789?:??;▅=>?@????C??201403?31?D=EF??+?(?JD=??LMN??PQRSTU??P?W。Y??[，?^?_?ab?defg??i?，(?

2、_k?m?o=pqr??u?w??P?W，xk?myzU????o?{???}~?w???。?QR?D?P???p?(?_R^F?F?g。(?R?：______________,-：___________________??????D(?R??^?????、?(??，?：??????C￡??¤￥???+(??§??ea?，?(??ˉ▅e°▅。D=????±b2(???¤?¤??μ?????Y?MN1o，±b????、?????§?àá?、??(?。(??(?

3、?????D??~）(?R?：__________??：__________________,-：__________,-：_____________(?R?è$?é?：QR?：__________________________??：____________ìí??：__________________________?P?：____________??：?????P3??▲p：???：!?#)*??：$%&'??)*摘要??!?#$???(P3??▲P$??,；?/?!?#$

4、?0?2Mp(1,1,1)??▲p$；?!?#$?0?2Mp(2,1)??▲P$?4567.Mp(2,1)8Mp(1,1,1)?9?;<=>8?<=>?p3?$.【?BiC】?▲p$?!?#$!???#$【?/G】??H?JKL?NOPQ(?ST：11371232)8UV?L?NOPQ(?ST：2012011001,2013011001)?XY.Title:Finitep-groupsallofwhoseminimalnon-abeliansubgroupsareoforderp3Major:PuremathematicsN

5、ame:XiaoliXinSignature:Supervisor:AssociateProfessorLijianAnSignature:AbstractInthispaper,weinvestigatesomepropertiesofp-groupsallofwhoseminimalnon-abeliansubgroupsareoforderp3.Moreover,weclassifyp-groupsallofwhoseminimalnon-abeliansubgroupsareisomorphictoMp(1,1,1).Inadd

6、ition,someresultsareobtainedaboutp-groupsallofwhoseminimalnon-abeliansubgroupsareisomorphictoMp(2,1),whereMp(2,1)andMp(1,1,1)denotemetacyclicandnon-metacyclicgroupsoforderp3,respectively.【KeyWords】finitep-groups,minimalnon-abeliansubgroups,abelianmaximalsubgroups【TypeofT

7、hesis】PuremathematicsThisworkwassupportedbyNSFC(no.11371232)andNSFofShanxiProvince(no.2012011001,2013011001).!§1D?ò.........................................................................................................................................I§1.1?Pó?..........

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