特征子群较多的有限P群的分类

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3、《wYÓÔắᦻᐰᦻᦪuÑ》᱐ÕÖḄᑁ，×_SḄᦻJᡲẆm▾ᔣwYÙDÚ（ᐝÝ᱐）ᵯᩖàáᢗã，äå《wYÐᦻᐰᦻᦪuÑ》、《wYÓÔắᦻᐰᦻᦪuÑ》æI᱐，¸ᙠCNKIçᑡᦪuÑw¦ᵨ，¸ᢥÕÖ¶·êëìᐵᩗí。(³Ḅᦻᙠ°〉ᵨ_ᣴᩗ©）ᦻoὅ¥'：________ᢣ#ᦟ%¥'：____________CD：________CD：__________ᦻoὅï=ðᔣ：noᓫ：____________________ᵯñ：_________òóᙢᙬ：____

4、________________ᵫPö：_________ᦻ⚪ø：ᱯḄᨵ▲pḄᑖ<=：?Ạᦪắ：ᩰ⃅¥'ᢣ#ᦟ%：()*+ᦟᣴ¥'᤺⌕_ᦻᑖ¯úBᣚᙳᱯḄᨵ▲p，úüýᙳᱯḄᨵ▲pþúüýBᣚᙳᱯḄᨵ▲p.【ᐵi】ᱯúBᣚúüýúüýBᣚ【ᦻ】?Ạ_ᦻqᑮYᯠ6?(ᢇ：113H232)-.ḕᯠ6?(ᢇ：2012011001,2013011001)Ḅ.Title:Aclassificationoffinitep-gro

5、upswithmanycharacteristicsubgroupsMajor:PuremathematicsName:LiYangSignature:________Supervisor:AssociateProfessorLijianAnSignature:________AbstractInthispaper,weclassifythefollowingfinitep-groups:(1)allofwhosenon-abeliansubgroupsarecharacteristic;(2)allofwhos

6、enon-cyclicsubgroupsarecharacteristic;(3)allofwhosenon-cyclicandabeliansubgroupsarecharacteristic.【KeyWords】characteristicsubgroups,non-abeliansubgroups,non-cyclicsubgroups,non-cyclicandabeliansubgroups【TypeofThesis】PuremathematicsThisworkwassupportedbyNSFC(n

7、o.11371232)andNSFofShanxiProvince(no.2012011001,2013011001).ø§1.........................................................................................................................................I§1.1Ẇm..............................................

8、.......................................................................1§1.2Ẇm.............................................................................................................