#4195 ⟨
a
,
b
|
bab
=
abb
,
bbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#4193
⟨
a
,
b
|
bab
=
aba
,
bbb
=
b
⟩
Next:
#4199
⟨
a
,
b
|
bba
=
abb
,
bbb
=
b
⟩
Properties
Presentation has sum-of-sides 10
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 recursive path with deg(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
ab=c
cb
⇒
bc
b
3
⇒
b
b
2
c
⇒
c
ab
⇒
c
ac
⇒
b
c
2
# ab:bab=abb,bbb=b bc/a ab=c frequency:2/0 cb=bc bbb=b bbc=c ab=c ac=bcc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
