<s>
In	O
abstract	O
algebra	O
,	O
especially	O
in	O
the	O
area	O
of	O
group	O
theory	O
,	O
a	O
strong	B-Algorithm
generating	I-Algorithm
set	I-Algorithm
of	O
a	O
permutation	B-Algorithm
group	I-Algorithm
is	O
a	O
generating	O
set	O
that	O
clearly	O
exhibits	O
the	O
permutation	O
structure	O
as	O
described	O
by	O
a	O
stabilizer	O
chain	O
.	O
</s>
<s>
A	O
base	O
and	O
strong	B-Algorithm
generating	I-Algorithm
set	I-Algorithm
(	O
BSGS	O
)	O
for	O
a	O
group	O
can	O
be	O
computed	O
using	O
the	O
Schreier	B-Algorithm
–	I-Algorithm
Sims	I-Algorithm
algorithm	I-Algorithm
.	O
</s>
