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Cyclic Groups
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GROUP
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Correspondence Theorem
一些常見的 Groups
這一章中我們介紹一些常見的 groups: cyclic groups, abelian groups 和 symmetric groups.
Subsections
Cyclic Groups
Direct Product
Finite Abelian Groups
Cauchy and Sylow's Theorems for finite abelian groups
一些 abelian groups 特有的性質
Abelian
p
-groups
Finite abelian groups 的基本定理
The Symmetric Group
The group
A
(
S
) and Cayley's Theorem
The symmetric group of degree
n
Disjoint cycle decomposition
Disjoint cycle 的性質
一些 cycles 的運算
Even and odd permutations
The alternating group
S
n
的 normal subgroup
A
n
的 normal subgroup
Administrator 2005-06-18
