<s>
In	O
mathematics	O
,	O
in	O
the	O
realm	O
of	O
group	O
theory	O
,	O
a	O
quotientable	B-Algorithm
automorphism	I-Algorithm
of	O
a	O
group	O
is	O
an	O
automorphism	O
that	O
takes	O
every	O
normal	O
subgroup	O
to	O
within	O
itself	O
.	O
</s>
<s>
All	O
family	O
automorphisms	O
are	O
quotientable	O
,	O
and	O
particularly	O
,	O
all	O
class	B-Algorithm
automorphisms	I-Algorithm
and	O
power	O
automorphisms	O
are	O
.	O
</s>
<s>
As	O
well	O
,	O
all	O
inner	B-Algorithm
automorphisms	I-Algorithm
are	O
quotientable	O
,	O
and	O
more	O
generally	O
,	O
any	O
automorphism	O
defined	O
by	O
an	O
algebraic	O
formula	O
is	O
quotientable	O
.	O
</s>
