Dissertation > Excellent graduate degree dissertation topics show

The Structure of Finite Inner-n Group

Author: LuYao
Tutor: ShiWuJie
School: Suzhou University
Course: Basic mathematics
Keywords: inner nilpotent group inner solvable group inner-1 group inner-2 group inner-n group
CLC: O152.1
Type: Master's thesis
Year: 2009
Downloads: 16
Quote: 0
Read: Download Dissertation

Abstract


We study the finite group theory,subgroups and factor groups will undoubtedly play an important part.Since the structure of subgroups and factor groups are simpler than the original group in general.However,it is a normal way to study the property of original group through the property of subgroups and factor groups,or even we could determine the special property of the original group only through the property of maximal subgroups.Through the book of inner and outer∑groups written by Professor Chert zhongmu,we give special order constraints in the order of subgroups,and give the inner-1,inner-2 and inner-n group of the definitions and their structures.This article is divided into 3 chapters,the main contents are as follows:ChapterⅠ:We give the definition of inner-1,inner-2 and inner-n group,introduce the conception of the inner nilpotent group and the inner solvable group,as well as some of the basic conception and fundamental theorem.ChapterⅡ:We study the inner-1,inner-2 and the finite solvable inner-n group and give the relevant structure.ChapterⅢ:We give some simple property of inner-1 and inner-2 groups.

Related Dissertations

  1. Some low- symmetry group calculation,O152.1
  2. Classification of n+2-Dimensional n-Lie Algebras,O152.5
  3. Cryptic Rpp Semigroups,O152.7
  4. LMOV conjecture and representation theory,O152.6
  5. Derivation Algebras of a Class of 5 Dimensional 3-Lie Algebras,O152.5
  6. Gagliardo-Nirenberg inequalities on polynomial growth Lie groups,O152.5
  7. The Structure of a Class of 4-Lie Algebras,O152.5
  8. A Class of Characteristically Simple Infinite Dimensional n-Lie Algebras,O152.5
  9. Automorphism Groups of Two Kinds Finite Groups,O152.1
  10. Central Automorphism Groups of Finite p- Groups,O152.1
  11. The Influence of Supplemented Subgroups on the Structure of Finite Groups,O152.1
  12. Classification of Four Dimensional Pseudo-Riemannian Left Symmetric Algebras,O152.5
  13. Derivations of the Standard Borel Subalgebra of Lie Algebra of Type C_n over a Commutative Ring,O152.5
  14. Transversals and Orders on Some Semigroups,O152.7
  15. Multiresolution Analysis on the Product of Heisenberg Group and Laguerre Hypergroup,O152.7
  16. Under the action of the projective linear group transitive 4 - Design,O152
  17. Engle’s Theorem of Jordan Lie Algebra and Its Applications,O152.5
  18. The Unique Decomposition of Associative Color Algebra and the Cohomology of Lie Color Algebra,O152.5
  19. The Unique Decomposition and the Universal Central Extension of Lie Poisson Algebra,O152.5
  20. On the Structure of Lie Triple Supersystems,O152.5
  21. The Property and Derivation Superalgebra of Modular Lie Superalgebra S (n, m),O152.5

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