#1136 ⟨
a
,
b
|
abbbba
=
abb
⟩
Up:
Monoids with two generators and one relation
Prev:
#1135
⟨
a
,
b
|
abbbba
=
aba
⟩
Next:
#1137
⟨
a
,
b
|
abbbba
=
bab
⟩
Properties
Presentation has sum-of-sides 9
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
c
<
b
<
a
Auxiliary generator:
abbb=c
c
b
2
⇒
cbc
a
b
2
⇒
cba
cbab
⇒
c
(
cb
)
2
a
⇒
cb
# ab:abbbba=abb cba abbb=c frequency:4/1 cbb=cbc abb=cba cbab=c cbcba=cb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
