The fundamental group is either icosahedral group by a cyclic group of even order.
2.
In fact, the binary icosahedral group is the smallest ( non-trivial ) superperfect group.
3.
For instance, the preimage of the icosahedral group ( 2, 3, 5 ) is the binary icosahedral group,.
4.
For instance, the preimage of the icosahedral group ( 2, 3, 5 ) is the binary icosahedral group,.
5.
The only composition series of is } ( where is the alternating group on five letters, also known as the icosahedral group ).
6.
Icosahedral groups of M�bius transformations were used by Felix Klein to give an analytic solution to the quintic equation in; a modern exposition is given in.
7.
In all these symmetries, alternate reflections can be removed producing the rotational tetrahedral, octahedral, and icosahedral groups of order 12, 24, and 60.
8.
Along with the special linear group and the icosahedral group, S 5 is one of the three non-solvable groups of order 120, up to isomorphism.
9.
Building on the methods of Kronecker, he produced similar results to those of Brioschi and went on to completely solve the problem by means of the icosahedral group.
10.
PSL ( 2, 5 ) E " " A " 5, which can also be thought of as the binary icosahedral group covering the icosahedral group.
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