#12723 ⟨
a
,
b
|
aba
=
aab
,
bbbbb
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#12707
⟨
a
,
b
|
aba
=
aab
,
abbbb
=1⟩
Next:
#12823
⟨
a
,
b
|
baa
=
aab
,
bbbbb
=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
a
<
b
aba
⇒
a
2
b
a
2
b
2
a
⇒
a
3
b
2
b
5
⇒ 1
a
3
b
3
a
⇒
a
4
b
3
a
4
b
4
a
⇒
a
5
b
4
# ab:aba=aab,bbbbb=1 ab aba=aab aabba=aaabb bbbbb=1 aaabbba=aaaabbb aaaabbbba=aaaaabbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
