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Group Theory and its Application看板

Group Theory and its Application看板

Nov 09, 20251 min read

Notes

  • 1.2 Factorization of Permutation Groups
  • 3.2 Examples of coset graph
  • 4.1 Transitive graph: just definition
  • 4.2 Cayley graph: judgement
  • 4.3 Three actions of a group on its elements
  • 4.4 Normal Cayley graph
  • 4.5 Odd graph
  • 4.6 Dual Cayley graph
  • 5.1 non-Cayley number
  • 5.2 Construction of half-transitive graph
  • 5.3 generalization of 5.3
  • 5.4=5.3.2 Construction
  • 6.1 Self-complementary graph
  • 6.2 Vertex-transitive self-complementary graph
  • 7 From graph to normal edge-transitive Cayley graph
  • 9 final
  • 0 Definitions

Basic Definitions

  • 这列归档完删除
  • 0.1 core & socle
  • 0.3 Automorphism group of PSL
  • 0.4 Hall subgroup
  • 0.6 Fitting subgroup
  • 0.8 Nilpotent group
  • 0.9 Frobenius group

Notes-Done

  • 1.1 Factorization of Groups
  • 2 Central Product
  • 3.1 Coset graph and quotient graph
  • 8 s-arc-transitive digraph
  • 都做完之后做目录 & publish

Graph View

  • Notes
  • Basic Definitions
  • Notes-Done

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