<s>
In	O
mathematics	O
,	O
especially	O
the	O
field	O
of	O
computational	O
group	O
theory	O
,	O
a	O
Schreier	B-Algorithm
vector	I-Algorithm
is	O
a	O
tool	O
for	O
reducing	O
the	O
time	O
and	O
space	O
complexity	O
required	O
to	O
calculate	O
orbits	O
of	O
a	O
permutation	B-Algorithm
group	I-Algorithm
.	O
</s>
<s>
A	O
common	O
task	O
in	O
computational	O
group	O
theory	O
is	O
to	O
compute	O
the	O
orbit	O
of	O
some	O
element	O
under	O
G	O
.	O
At	O
the	O
same	O
time	O
,	O
one	O
can	O
record	O
a	O
Schreier	B-Algorithm
vector	I-Algorithm
for	O
.	O
</s>
<s>
Use	O
of	O
Schreier	B-Algorithm
vectors	I-Algorithm
to	O
perform	O
this	O
requires	O
less	O
storage	O
space	O
and	O
time	O
complexity	O
than	O
storing	O
these	O
g	O
explicitly	O
.	O
</s>
<s>
A	O
Schreier	B-Algorithm
vector	I-Algorithm
for	O
is	O
a	O
vector	O
such	O
that	O
:	O
</s>
