最終更新日
：2024/08/06
solvable group
noun
(algebra,
Galois
theory)
A
group
which
has
a
chain
of
subgroups
going
from
itself
all
the
way
down
to
the
trivial
subgroup,
such
that
any
subgroup
in
the
chain
is
a
normal
subgroup
of
the
one
immediately
above
it
in
the
chain,
and
such
that
the
quotient
of
any
subgroup
by
the
normal
subgroup
immediately
under
it
is
a
cyclic
group.
意味（1）
(algebra,
Galois
theory)
A
group
which
has
a
chain
of
subgroups
going
from
itself
all
the
way
down
to
the
trivial
subgroup,
such
that
any
subgroup
in
the
chain
is
a
normal
subgroup
of
the
one
immediately
above
it
in
the
chain,
and
such
that
the
quotient
of
any
subgroup
by
the
normal
subgroup
immediately
under
it
is
a
cyclic
group.
復習用の問題
(algebra, Galois theory) A group which has a chain of subgroups going from itself all the way down to the trivial subgroup, such that any subgroup in the chain is a normal subgroup of the one immediately above it in the chain, and such that the quotient of any subgroup by the normal subgroup immediately under it is a cyclic group.
正解を見る
solvable group
正解を見る
The solvable group is a fundamental concept in algebra.
English Dictionary
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