Dissertation > Excellent graduate degree dissertation topics show

Non-Abelian Groups and the Number of the Group Irreducible Character

Author: LiuZhiHui
Tutor: FanZuo
School: Wuhan University
Course: Basic mathematics
Keywords: Finite Groups Finite p-group Irreducible character Conjugated Commutator subgroup Centralizer
CLC: O152
Type: Master's thesis
Year: 2005
Downloads: 52
Quote: 0
Read: Download Dissertation

Abstract


This paper studies the non-commutative finite group G is irreducible character counts and the link between the structure group G consists of the following two parts. The first part , note the order of a finite group G and the number of irreducible character ratio of μ (G), we studied the general non-commutative finite group G of the structure and μ (G) the relationship between the group G through order the smallest prime factor and commutator subgroup G ' was the smallest prime factor μ (G) is a lower bound , and gives a necessary and sufficient to achieve the lower bound condition . The second part , we have established a non-commutative finite p-group G with its conjugate relationship between the number of classes , and got smaller rank p-group G between the number of conjugacy classes with a more concise mutual determine relationships .

Related Dissertations

  1. The Oxidation Mechanism and Stability Improved of Conjugated Polyunsaturated Fatty Acids,O621.25
  2. Effect of Conjugated Linoleic Acid on Gene Expression of Lipogenesis and Lipolysis in Liver of Mouse,S816
  3. Design, Synthesis, and Optoelectronic Properties of Novel Poly-(para-phenylene Vinylene) Derivates (PPVs),O632
  4. Photodeformation Properties of Liquid-Crystalline Elastomers and Composites Containing Long Conjugated Mesogens,TB33
  5. Synthesis and Properties of Conjugated Electroluminescent Materials,O621.3
  6. The Application of Helical Poly(4,4,4-triphenyl-1-butene Oxide) in Gas Chromotography and the Synthesis of Triphenyl-substituted Conjugated Dienes,O657.7
  7. Determination and Preliminary Intake Assessment of Phytoestrogens in Food,R151
  8. Central Automorphism Groups of Finite p- Groups,O152.1
  9. Cloning and Expression of Linoleate Isomerase,Q78
  10. Study on Phosphine-catalyzed [3+2] Annulation Reaction of Electron-deficient Conjugated Enynes with Allenoates and Selective Transformations of the Products,O621.25
  11. Screening and Identification of Conjugated Linoleic Acid Producing Ruman Bacteria,S852.6
  12. Synthesis and Characterization of Low Band Gap Conjugated Polymers Based Phenothiazine Derivatives,O631.3
  13. Order on the characterization of finite groups,O152.1
  14. Synthesis and Characterization of Blue-light Copolymers Based on Fluorene and Indolefluorene,O633.5
  15. Daqing Horizontal Well Casing Development and Application of the Annex,TE256.2
  16. Finite Element Analysis of Rod Partial Mill of Screw Pump Wells,TE933.2
  17. CLA Strain Screening , identification, optimization of media and fermentation conditions and UV mutagenesis studies,TQ921
  18. Bow Spring Casing Centralizer Mechanical Performance Analysis and Design,TE937
  19. Organic Electronic Device Based on Diketopyrrolopyrrole Donor-acceptor Conjugated Polymer,TN15
  20. Novel Preparation Process of Conjugated Linoleic Acids,TQ645.6
  21. Study on the Synthesis and Properties of 1,3,4-Oxadiazole Derivatives,O626.2

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory
© 2012 www.DissertationTopic.Net  Mobile