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 quaternions.
The group has an action on the three-sphere with dodecahedral space as quotient.
References
| [1] | H.S.M. Coxeter, "Regular complex polytopes" , Cambridge Univ. Press (1991) pp. 77 ISBN 0-521-20125-X Template:ZBL |
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