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In mathematics and group theory, the term multiplicative group refers to one of the following concepts: *the group under multiplication of the invertible elements of a field,〔See Hazewinkel et al. (2004), p. 2.〕 ring, or other structure for which one of its operations is referred to as multiplication. In the case of a field ''F'', the group is , where 0 refers to the zero element of ''F'' and the binary operation • is the field multiplication, *the algebraic torus GL(1). == Examples == *The multiplicative group of integers modulo ''n'' is the group under multiplication of the invertible elements of . When ''n'' is not prime, there are elements other than zero that are not invertible. * The multiplicative group of positive real numbers, , is an abelian group with 1 being its neutral element. The logarithm is a group isomorphism of this group to the additive group of real numbers, . 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「multiplicative group」の詳細全文を読む スポンサード リンク
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