#16553 ⟨
a
,
b
|
abb
=
aa
,
bbb
=
abb
⟩
Up:
Monoids with two generators and two relations
Prev:
#16551
⟨
a
,
b
|
aba
=
bb
,
bbb
=
aaa
⟩
Next:
#16556
⟨
a
,
b
|
abb
=
bb
,
bbb
=
abb
⟩
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 recursive path with deg(
b
) = 0; deg(
a
) = 1
b
5
⇒
b
4
a
b
2
⇒
b
3
b
3
a
⇒
b
4
a
2
⇒
b
3
# ab:abb=aa,bbb=abb b/a bbbbb=bbbb abb=bbb bbba=bbbb aa=bbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
