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Dicyclic group
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The dicyclic group of order
4
n
has generators
a
2
n
=
1
,
b
2
=
a
n
,
ba
b
−
1
=
a
−
1
.
(191)
Every element has a unique form
a
k
or
a
k
b
, with
0
≤
k
<
2
n
.
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(6)
Finite group theory
Group theory
Algebra
Area of mathematics
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