#4199 ⟨
a
,
b
|
bba
=
abb
,
bbb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#4195
⟨
a
,
b
|
bab
=
abb
,
bbb
=
b
⟩
Next:
#4212
⟨
a
,
b
|
aaaaa
=1,
abbbb
=1⟩
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:
ba=c
b
3
⇒
b
b
2
c
⇒
c
c
b
2
⇒
c
ab
⇒
bcb
ac
⇒
b
c
2
ba
⇒
c
ca
⇒
cbc
# ab:bba=abb,bbb=b bc/a ba=c frequency:2/2 bbb=b bbc=c cbb=c ab=bcb ac=bcc ba=c ca=cbc
Right Cayley graph (truncated)
Left Cayley graph (truncated)
