#1780 ⟨
a
,
b
|
ababaabab
=
b
⟩
Up:
Monoids with two generators and one relation
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#1779
⟨
a
,
b
|
ababaabab
=
a
⟩
Next:
#1781
⟨
a
,
b
|
ababaabba
=
a
⟩
Properties
Presentation has sum-of-sides 10
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
b
<
a
a
b
2
⇒
bab
(
ab
)
3
⇒
ba
(
ab
)
2
ab
(
aba
)
2
b
⇒
b
# ab:ababaabab=b ba abb=bab ababab=baabab ababaabab=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
