#662 ⟨
a
,
b
|
ab
=
aa
,
bb
=
ba
⟩
Up:
Monoids with two generators and two relations
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⟨
a
,
b
|
ab
=
aa
,
bb
=
aa
⟩
Next:
#663
⟨
a
,
b
|
ba
=
ab
,
bb
=
aa
⟩
Properties
Presentation has sum-of-sides 8
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
⇒
a
2
b
2
⇒
ba
# ab:ab=aa,bb=ba ab ab=aa bb=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
