18 lines
894 B
Markdown
18 lines
894 B
Markdown
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theories.group_theory
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=====================
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Group theory (especially finite group theory).
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[subgroup](subgroup.lean) : general subgroup theories, quotient group using quot
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[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
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[hom](hom.lean) : homomorphism and isomorphism, kernel, first isomorphism theorem
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[perm](perm.lean) : permutation group
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[cyclic](cyclic.lean) : cyclic subgroup, finite generator, order of generator, sequence and rotation
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[action](action.lean) : fixed point, action, stabilizer, orbit stabilizer theorem, orbit partition, Cayley theorem, action on lcoset, cardinality of permutation group
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[pgroup](pgroup.lean) : subgroup with order of prime power, Cauchy theorem, first Sylow theorem
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