#13 ⟨
a
,
b
|
abab
=1⟩
Up:
Monoids with two generators and one relation
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#12
⟨
a
,
b
|
aabb
=1⟩
Next:
#14
⟨
a
,
b
|
abba
=1⟩
Properties
Presentation has sum-of-sides 4
Infinite non-commutative monoid
Complete rewriting system
Format:
Pretty
Plain
Word to reduce:
Tips:
Lowercase letters stand for generators.
Spaces are ignored.
Numbers repeat the previous letter, e.g.
b90
.
Reduction strategy:
Leftmost
Rightmost
Path to normal form:
1
1
Reduction order:
Left-to-right shortlex with
a
<
b
(
ab
)
2
⇒ 1
# ab:abab=1 ab abab=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
