元となった辞書の項目
order
noun
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(group
theory,
of
an
element
of
a
group)
For
given
group
G
and
element
g
∈
G,
the
smallest
positive
natural
number
n,
if
it
exists,
such
that
(using
multiplicative
notation),
gⁿ
=
e,
where
e
is
the
identity
element
of
G;
if
no
such
number
exists,
the
element
is
said
to
be
of
infinite
order
(or
sometimes
zero
order).
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