<s>
Every	O
finite	O
group	O
G	O
admits	O
a	O
monomorphism	B-Application
to	O
U	O
.	O
</s>
<s>
All	O
such	O
monomorphisms	B-Application
are	O
conjugate	O
by	O
inner	B-Algorithm
automorphisms	I-Algorithm
of	O
U	O
.	O
</s>
<s>
is	O
Hall	B-Algorithm
's	I-Algorithm
universal	I-Algorithm
group	I-Algorithm
U	O
.	O
</s>
<s>
group	O
admits	O
a	O
monomorphism	B-Application
to	O
a	O
group	B-Algorithm
of	I-Algorithm
permutations	I-Algorithm
,	O
as	O
explained	O
above	O
.	O
</s>
