Difference between revisions of "Binary icosahedral group"
From Encyclopedia of Mathematics
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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> | + | <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> |
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Latest revision as of 14:29, 12 November 2023
2020 Mathematics Subject Classification: Primary: 20-XX [MSN][ZBL]
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 Zbl 0732.51002 |
How to Cite This Entry:
Binary icosahedral group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Binary_icosahedral_group&oldid=54413
Binary icosahedral group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Binary_icosahedral_group&oldid=54413