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46 Cards in this Set

  • Front
  • Back
  • 3rd side (hint)

Lagrange's theorem

First Isomorphism Theorem

Correspondence Theorem

Second Isomorphism Theorem
Third Isomorphism Theorem
p-group
(external) direct product
exponent
simple
subnormal series & its factors
composition series & its composition factors
solvable
α-orbit
conjugacy class
G-set
stabiliser
G-orbit
centraliser
Sylow p-subgroup
core
(internal) semidirect product
normaliser
Fundamental Theorem for Finite Abelian Groups
Jordan-Hölder theorem
Cayley's theorem
Orbit-Stabiliser theorem
class equation
Cauchy's theorem
1st Sylow theorem
2nd Sylow theorem
3rd Sylow theorem
Poincaré's lemma
(internal) direct product
p-primary subgroup
group
abelian/commutative
subgroup
cyclic subgroup
order, o(a)
congruence
normal subgroup
quotient group G/N
homomorphism
isomorphism
image
kernel