lean2/library/theories/group_theory/group_theory.md

theories.group_theory
=====================

Group theory (especially finite group theory).

* [subgroup](subgroup.lean) : general subgroup theories, quotient group using quot
* [finsubg](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](hom.lean) : homomorphism and isomorphism, kernel, first isomorphism theorem
* [perm](perm.lean) : permutation group
* [cyclic](cyclic.lean) : cyclic subgroup, finite generator, order of generator, sequence and rotation
* [action](action.lean)	: fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition, Cayley theorem, action on lcoset, cardinality of permutation group
* [pgroup](pgroup.lean)	: subgroup with order of prime power, Cauchy theorem, first Sylow theorem
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 2015-07-16 03:02:11 +00:00			`theories.group_theory`
			`=====================`

			`Group theory (especially finite group theory).`

feat(library/theories/{metric_space,real_limit}): define metric spaces, limits, instantiate reals 2015-09-13 01:45:47 +00:00			`* [subgroup](subgroup.lean) : general subgroup theories, quotient group using quot`
			`* [finsubg](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](hom.lean) : homomorphism and isomorphism, kernel, first isomorphism theorem`
			`* [perm](perm.lean) : permutation group`
			`* [cyclic](cyclic.lean) : cyclic subgroup, finite generator, order of generator, sequence and rotation`
			`* [action](action.lean) : fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition, Cayley theorem, action on lcoset, cardinality of permutation group`
			`* [pgroup](pgroup.lean) : subgroup with order of prime power, Cauchy theorem, first Sylow theorem`