#20217 ⟨
a
,
b
|
aba
=
a
,
abba
=
abb
⟩
Up:
Monoids with two generators and two relations
Prev:
#20215
⟨
a
,
b
|
aba
=
a
,
abba
=
aab
⟩
Next:
#20219
⟨
a
,
b
|
aba
=
a
,
abba
=
bbb
⟩
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
<
c
<
b
Auxiliary generator:
ab=c
ab
⇒
c
ca
⇒
a
c
2
⇒
c
cba
⇒
cb
c
b
2
⇒
cbc
# ab:aba=a,abba=abb acb ab=c frequency:2/1 ab=c ca=a cc=c cba=cb cbb=cbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
