Namespaces
Variants
Actions

Difference between revisions of "Binary icosahedral group"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Start article: Binary icosahedral group)
 
m (→‎References: isbn link)
 
Line 11: Line 11:
 
==References==
 
==References==
 
<table>
 
<table>
<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>
 
</table>
 
</table>

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