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Appendix E Specimens
1.1 Groups
1.2 Modular arithmetic
1.3 Matrix groups
1.4 Dihedral groups
1.5 Permutations
1.8 Subgroups
1.13 First isomorphism theorem
1.16 Alternating subgroup
1.22 Sylow theorems: applications
1.24 Semidirect products
2.1 Rings
2.2 Subrings, units, zero divisors
2.3 Group rings, polynomials, power series
2.4 Hamilton quaternion rings
2.5 Ring homomorphisms and ideals
2.6 Quotient rings and isomorphism theorems
2.10 Localizations and fraction fields
2.11 Euclidean domains
2.15 Multivariate polynomial rings and monoid algebras
2.17 Modules
2.18 Direct sums and free modules
