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--- problem:soccerballahedron [2013/08/14 13:10]
bmwoodruff
+++ problem:soccerballahedron [2013/08/14 13:50] (current)
bmwoodruff
@@ Line 1: / Line 1: @@
 ====== Soccerballahedron ======
 ==== Problem ====
-Construct the [[definition:Cayley graph]] of the group defined by the [[definition:group presentation]] $$\left< a,b\mid a^2=e, b^5=e, ababab=e\right>.$$
+Construct the [[definition:Cayley graph]] of the group defined by the [[definition:group presentation]] $$\left< a,b\mid a^2, b^5, ababab\right>.$$
 Can you think of a common object whose shape is similar to this graph?
@@ Line 8: / Line 8: @@
   * One option ends up with a soccerball.
   * This is a presentation for the [[definition:alternating group]] $A_5$.
+  * I decided to omit $=e$ from each relator.
 <sagecell>
 g = AlternatingGroup(5)

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