theorem 4.56 Cayley's theorem

open in the book · parts/02-mathematical-methods/02-algebraic-structures.tex:1945 · p. 81

Rests on

depends_on definition 4.44 Group isomorphism ¶
- depends_on definition 4.43 Group homomorphism ¶
  - depends_on definition 4.21 Group ¶
    - depends_on definition 4.11 Inverse element ¶
      - depends_on definition 4.9 Neutral element ¶
    - depends_on definition 4.20 Monoid ¶
      - depends_on definition 4.9 Neutral element ¶ ↺
      - depends_on definition 4.18 Semigroup ¶
  - depends_on definition 3.43 Map ¶
    - depends_on definition 3.24 Quantifiers ¶
      - depends_on definition 3.23 Predicate ¶
    - depends_on definition 3.28 Set ¶
- depends_on definition 3.47 Bijective map ¶
depends_on definition 4.49 Permutation group ¶
- depends_on definition 4.21 Group ¶ ↺
- depends_on definition 4.48 Symmetric group ¶
  - depends_on definition 3.47 Bijective map ¶ ↺
depends_on definition 4.36 Subgroup ¶
- depends_on definition 4.21 Group ¶ ↺
proves proof ch:02-algebraic-structures@proof-19 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Group isomorphism	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1948
`depends_on`	→	Permutation group	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1948
`depends_on`	→	Subgroup	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1948
`proves`	←	ch:02-algebraic-structures@proof-19	declared	parts/02-mathematical-methods/02-algebraic-structures.tex:1951