#16532 ⟨
a
,
b
|
aba
=
aa
,
bbb
=
aaa
⟩
Up:
Monoids with two generators and two relations
Prev:
#16530
⟨
a
,
b
|
aba
=
aa
,
bab
=
aaa
⟩
Next:
#16533
⟨
a
,
b
|
aba
=
aa
,
bbb
=
aba
⟩
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
<
b
aba
⇒
a
2
b
3
⇒
a
3
b
a
3
⇒
a
3
b
a
4
b
⇒
a
4
a
3
b
2
a
⇒
a
4
a
7
⇒
a
4
# ab:aba=aa,bbb=aaa ab aba=aa bbb=aaa baaa=aaab aaaab=aaaa aaabba=aaaa aaaaaaa=aaaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
