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About
References to 'cyclic group'
1.
$C_{mn}\cong C_m\times C_n$ when $m, n$ are relatively prime
by
yesitis
2.
a finite ring is cyclic if and only its order and characteristic are equal
by
mathcam
3.
abelian group is divisible if and only if it is an injective object
by
joking
4.
abelian number field
by
alozano
5.
additive category
by
CWoo
6.
algebraic lattice
by
CWoo
7.
ascending series
by
yark
8.
automorphism group of a cyclic group
by
rm50
9.
concepts in abstract algebra
by
matte
10.
congruence
by
rspuzio
11.
conjugacy classes in the symmetric group $S_n$
by
rm50
12.
convolution
by
PrimeFan
13.
cyclic permutation
by
CWoo
14.
cyclic ring
by
Wkbj79
15.
cyclic semigroup
by
mclase
16.
dihedral group properties
by
Algeboy
17.
Dirichlet's unit theorem
by
yark
18.
elementary abelian group
by
yark
19.
elliptic curve cryptography
by
PrimeFan
20.
equational class
by
CWoo
21.
every prime has a primitive root
by
alozano
22.
example of a Jordan-H\"older decomposition
by
mathcam
23.
examples of finite simple groups
by
mathcam
24.
examples of groups
by
AxelBoldt
25.
finding the order of a group
by
Algeboy
26.
finite field
by
yark
27.
free group
by
yark
28.
free product
by
yark
29.
Galois groups of finite abelian extensions of $\mathbb{Q}$
by
Wkbj79
30.
generalized dihedral group
by
yark
31.
generalized quaternion group
by
Algeboy
32.
generator
by
Wkbj79
33.
generator for the mutiplicative group of a field
by
polarbear
34.
group extension
by
CWoo
35.
groups of order pq
by
yark
36.
groups of small order
by
Daume
37.
groups with abelian inner automorphism group
by
rm50
38.
Hesse configuration
by
debosberg
39.
HNN extension
by
juanman
40.
homomorphic image of group
by
pahio
41.
isomorphic groups
by
alozano
42.
lattice of subgroups
by
CWoo
43.
locally cyclic group
by
yark
44.
metacyclic group
by
yark
45.
order of a profinite group
by
mathcam
46.
periodic group
by
yark
47.
polycyclic group
by
yark
48.
primitive root
by
CWoo
49.
procyclic group
by
alozano
50.
proof of Cauchy's theorem
by
yark
51.
proof of fundamental theorem of finitely generated abelian groups
by
puuhikki
52.
proof of Hilbert Theorem 90
by
mathcam
53.
proof of the converse of Lagrange's theorem for finite cyclic groups
by
Wkbj79
54.
proof that $G$ is cyclic if and only if $\lvert G \rvert=\exp(G)$
by
rm50
55.
proof that all cyclic groups are abelian
by
Wkbj79
56.
proof that all cyclic groups of the same order are isomorphic to each other
by
Wkbj79
57.
proof that all subgroups of a cyclic group are cyclic
by
Wkbj79
58.
proof that every group of prime order is cyclic
by
Wkbj79
59.
proof that every subring of a cyclic ring is a cyclic ring
by
Wkbj79
60.
properties of group commutators and commutator subgroups
by
GrafZahl
61.
quasicyclic group
by
yark
62.
quotient group
by
azdbacks4234
63.
regular polyhedron
by
mathwizard
64.
Scott-Wiegold conjecture
by
whm22
65.
semisimple ring
by
CWoo
66.
Sperner's lemma
by
mathcam
67.
structure of $(\mathbb{Z}/n\mathbb{Z})^{\times}$ as an abelian group
by
rm50
68.
subgoups of locally cyclic groups are locally cyclic
by
rspuzio
69.
subgroups of $S_4$
by
rm50
70.
subgroups of finite cyclic group
by
pahio
71.
subsemigroup of a cyclic semigroup
by
CWoo
72.
supersolvable group
by
mclase
73.
Sylow theorems, proof of
by
Henry
74.
syntactic congruence
by
Ziosilvio
75.
theory from orders of classical groups
by
Algeboy
76.
top ten coolest numbers
by
rspuzio
77.
topics on ideal class groups and discriminants
by
alozano
78.
trivial valuation
by
pahio
79.
virtually cyclic group
by
yark