$\newcommand{\identity}{\mathrm{id}} \newcommand{\notdivide}{{\not{\mid}}} \newcommand{\notsubset}{\not\subset} \newcommand{\lcm}{\operatorname{lcm}} \newcommand{\gf}{\operatorname{GF}} \newcommand{\inn}{\operatorname{Inn}} \newcommand{\aut}{\operatorname{Aut}} \newcommand{\Hom}{\operatorname{Hom}} \newcommand{\cis}{\operatorname{cis}} \newcommand{\chr}{\operatorname{char}} \newcommand{\Null}{\operatorname{Null}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&}$

# IndexIndex

$n$th root of unity
Abelian group
Ackermann's function
Algorithm
Euclidean
Binary operation
Burnside, William
Cancellation law
for groups
Cayley table
Composite integer
Congruence modulo $n$
Conjugate, complex
De Morgan's laws
for sets
DeMoivre's Theorem
Division algorithm
for integers
Element
identity, Item
inverse, Item
order of
Equivalence class
Equivalence relation
Euclidean algorithm
Function
bijective
composition of
definition of
domain of
identity
injective
invertible
one-to-one
onto
range of
surjective
Fundamental Theorem
of Arithmetic
Galois, Évariste
Generator of a cyclic subgroup
Greatest common divisor
of two integers
Group
abelian
circle
commutative
cyclic
definition of
finite
general linear
infinite
nonabelian
noncommutative
of units
order of
quaternion
special linear
Induction
first principle of
second principle of
International standard book number
Klein, Felix
Lagrange, Joseph-Louis
Lie, Sophus
Linear transformation
definition of
Mapping, seeFunction
Matrix
similar
Partitions
Permutation
definition of
Prime integer
Primitive $n$th root of unity
Quaternions
Rigid motion
Sieve of Eratosthenes
Subgroup
cyclic
definition of
proper
trivial
Universal Product Code
Well-defined map
Well-ordered set