#13272 ⟨
a
,
b
|
bba
=
abb
,
bbb
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#13271
⟨
a
,
b
|
bba
=
abb
,
bbb
=
ab
⟩
Next:
#13281
⟨
a
,
b
|
aaaaa
=1,
aabaab
=1⟩
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
c
<
a
<
b
Auxiliary generator:
abb=c
ca
⇒
c
2
cb
⇒
c
ac
⇒
c
2
bc
⇒
c
a
b
2
⇒
c
b
2
a
⇒
c
b
3
⇒
b
2
# ab:bba=abb,bbb=bb cab abb=c frequency:3/1 ca=cc cb=c ac=cc bc=c abb=c bba=c bbb=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
