View source for Binary icosahedral group

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The group $\langle 5,3,2 \rangle$ abstractly presented as:
$$
\langle A,B \ |\ A^5=B^3=(AB)^2 \rangle \ .
$$
It is finite of order 120.  It occurs as a subgroup of the [[unit quaternion]]s.

The group has an action on the three-sphere with [[dodecahedral space]] as quotient.

==References==
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<TR><TD valign="top">[1]</TD> <TD valign="top">  H.S.M. Coxeter,   "Regular complex polytopes" , Cambridge Univ. Press  (1991)  pp. 77 {{ISBN|0-521-20125-X}}  {{ZBL|0732.51002}}</TD></TR>
</table>