#21783 ⟨
a
,
b
|
aaa
=1,
bbaabbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#21779
⟨
a
,
b
|
aaa
=1,
babbbbb
=
b
⟩
Next:
#21786
⟨
a
,
b
|
aaa
=1,
bbabbbb
=
a
⟩
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
b
2
a
2
b
⇒
b
a
2
b
2
b
a
2
b
4
⇒
b
# ab:aaa=1,bbaabbb=b ab aaa=1 bbaab=baabb baabbbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
