Index
·, 104
≡, 13
∼,
=
60, 141
∼σ, 91
≤, 51
, 70
0G, 34
0R, 131
1G, 35
1R, 131
{1,. . . ,
n}σ,
91
, 32
n
k=1
ak, 6
Gi, 54
Ri, 135
Gi, 54
a b, 33
a + S, 67
−a, 34
a˜b, 25
a−1,
35
a, 14
a | b, 5
aS, 67
(a), 143, 150
(a, b), 5
(
a
p
)
, 189
[a]n, 14
[a, b], 13, 183
[a], 14, 25
A/˜, 25
An, 97
A\B, 2
A × B, 21
|A|, 4
Aut(G), 62, 66
abelian, 46
abelian extension, 247
ACC, 182
ACCP, 177
action, 103
additively, 34
adjoining, 197
affine motion, 45
algebraic, 197
algebraic closure, 204, 210
algebraic extension, 197
algebraic integer, 182
algebraic numbers, 182, 204
algebraically closed, 210
algebraically independent, 204
alternating group, 97
alternating n-form, 102
annihilator, 149
antisymmetric, 209
ascending chain condition on ideals, 182
ascending chain condition on principal
ideals, 177
associate, 169
associated partition, 94
automorphism, 60, 141
automorphisms of An, 102
automorphisms of Sn, 101
Axiom of Choice, 214
Bij(X), 110
base m, 11
basis, 194
bijection, 21
bijective, 60, 141
binary operation, 33
Binet’s formula, 10
binomial coefficient, 10
Binomial Theorem, 10
Boolean, 139
bounded above, 1
bounded below, 2
Burnside, 240
Burnside’s Orbit Counting Theorem, 108
cg, 62
ch, 94
C∞(R), 45
C0(R),
45
C, 35
char R, 138, 215
cor(H), 78
251
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