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lean2/library/theories/group_theory/group_theory.md
Haitao Zhang a04c6b0c7d feat(library/theories/group_theory): Group and finite group theories 
subgroup.lean : general subgroup theories, quotient group using quot
finsubg.lean : finite subgroups (finset and fintype), Lagrange theorem,
  finite cosets and lcoset_type, normalizer for finite groups, coset product
  and quotient group based on lcoset_type, semidirect product
hom.lean : homomorphism and isomorphism, kernel, first isomorphism theorem
perm.lean : permutation group
cyclic.lean : cyclic subgroup, finite generator, order of generator, sequence and rotation
action.lean : fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition,
  Cayley theorem, action on lcoset, cardinality of permutation group
pgroup.lean : subgroup with order of prime power, Cauchy theorem, first Sylow theorem
2015-07-15 20:02:11 -07:00

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theories.group_theory

Group theory (especially finite group theory).

subgroup : general subgroup theories, quotient group using quot

finsubg : finite subgroups (finset and fintype), Lagrange theorem, finite cosets and lcoset_type, normalizer for finite groups, coset product and quotient group based on lcoset_type, semidirect product

hom : homomorphism and isomorphism, kernel, first isomorphism theorem

perm : permutation group

cyclic : cyclic subgroup, finite generator, order of generator, sequence and rotation

action : fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition, Cayley theorem, action on lcoset, cardinality of permutation group

pgroup : subgroup with order of prime power, Cauchy theorem, first Sylow theorem