Abstract Algebra |
Contents
Things Familiar and Less Familiar | 1 |
Groups | 40 |
Preliminaries | 108 |
Copyright | |
7 other sections not shown
Common terms and phrases
1-1 mapping 3-cycles a₁ abelian group algebraic over F automorphism b₁ coefficients commutative ring complex numbers constructible Corollary cosets cyclic group defined definition deg f(x degree divisor Eisenstein Criterion element of G equivalence relation Example extension of F finite field finite group ƒ E A(S G₁ G₂ given group G group of order hence homomorphism homomorphism of G ideal of F[x induction integral domain irreducible in Q[x isomorphic K₁ kernel Lemma Let F Let G maximal ideal monic polynomial multiplication N₁ nonabelian group normal subgroup nth roots number of elements permutation polynomial f(x positive integer prime number proves the theorem rational numbers reader real numbers relatively prime result of Problem right cosets s₁ Section space over F subgroup of G subset Suppose transpositions unique unit element v₁ vector space verify