<s>
The	O
group	O
action	O
is	O
sharply	O
2-transitive	B-Algorithm
if	O
such	O
is	O
unique	O
.	O
</s>
<s>
A	O
2-transitive	B-Algorithm
group	I-Algorithm
is	O
a	O
group	O
such	O
that	O
there	O
exists	O
a	O
group	O
action	O
that	O
's	O
2-transitive	B-Algorithm
and	O
faithful	O
.	O
</s>
<s>
Similarly	O
we	O
can	O
define	O
sharply	O
2-transitive	B-Algorithm
group	I-Algorithm
.	O
</s>
<s>
Let	O
be	O
the	O
symmetric	B-Algorithm
group	I-Algorithm
acting	O
on	O
,	O
then	O
the	O
action	O
is	O
sharply	O
n-transitive	O
.	O
</s>
<s>
The	O
group	O
of	O
n-dimensional	O
homothety-translations	B-Algorithm
acts	O
2-transitively	O
on	O
.	O
</s>
<s>
The	O
group	O
of	O
n-dimensional	O
projective	B-Algorithm
transforms	I-Algorithm
almost	O
acts	O
sharply	O
(	O
n+2	O
)	O
-transitively	O
on	O
the	O
n-dimensional	O
real	O
projective	O
space	O
.	O
</s>
<s>
In	O
other	O
words	O
,	O
the	O
n-dimensional	O
projective	B-Algorithm
transforms	I-Algorithm
act	O
transitively	O
on	O
the	O
space	O
of	O
projective	O
frames	O
of	O
.	O
</s>
<s>
Every	O
2-transitive	B-Algorithm
group	I-Algorithm
is	O
a	O
primitive	B-Algorithm
group	I-Algorithm
,	O
but	O
not	O
conversely	O
.	O
</s>
<s>
Every	O
Zassenhaus	B-Algorithm
group	I-Algorithm
is	O
2-transitive	B-Algorithm
,	O
but	O
not	O
conversely	O
.	O
</s>
<s>
The	O
solvable	O
2-transitive	B-Algorithm
groups	I-Algorithm
were	O
classified	O
by	O
Bertram	O
Huppert	O
and	O
are	O
described	O
in	O
the	O
list	B-Algorithm
of	I-Algorithm
transitive	I-Algorithm
finite	I-Algorithm
linear	I-Algorithm
groups	I-Algorithm
.	O
</s>
