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subgroup method : ウィキペディア英語版
subgroup method
The subgroup method is an algorithm used in the mathematical field of group theory. It is used to find the word of an element. It doesn't always return the minimal word, but it can return optimal words based on the series of subgroups that is used. The code looks like this:
function operate(element, generator)


function subgroup(g)
sequence := (set of subgroups that will be used, depending on the method.)
word := []
for subgroup in sequence
coset_representatives := []

for operation in coset_representatives
if operate(g, operation) is in the next subgroup then
append operation onto word
g = operate(g, operation)
break
return word



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「subgroup method」の詳細全文を読む



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