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Last Updated :2025/11/21

coset

Noun
Japanese Meaning
群論において、部分群の各元に固定された群の元を二項演算により作用させた結果得られる集合、つまり剰余類。
What is this buttons?

2つの元が、群のある固定元を部分群の各元に作用させて得られる同じ集合に属するかどうかを確かめるには、一方が部分群のある元を掛けることで他方に移るかを調べればよい。

plural

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(algebra, group theory) The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup.

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coset

To determine whether two elements are in the same coset, we check if one can be obtained by multiplying the other by some element of the subgroup.

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To determine whether two elements are in the same coset, we check if one can be obtained by multiplying the other by some element of the subgroup.

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