#23311 ⟨
a
,
b
|
aaa
=1,
babb
=
abbb
⟩
Up:
Monoids with two generators and two relations
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#23310
⟨
a
,
b
|
aaa
=1,
babb
=
abba
⟩
Next:
#23313
⟨
a
,
b
|
aaa
=1,
babb
=
baab
⟩
Properties
Presentation has sum-of-sides 11
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
a
3
⇒ 1
ba
b
2
⇒
a
b
3
b
a
2
b
4
⇒
a
2
b
5
# ab:aaa=1,babb=abbb ab aaa=1 babb=abbb baabbbb=aabbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
