#28270 ⟨
a
,
b
|
aa
=1,
babbb
=
baba
⟩
Up:
Monoids with two generators and two relations
Prev:
#28259
⟨
a
,
b
|
aa
=1,
babab
=
bbbb
⟩
Next:
#28271
⟨
a
,
b
|
aa
=1,
babbb
=
babb
⟩
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
b
<
a
a
2
⇒ 1
ba
b
3
⇒ (
ba
)
2
b
(
ab
)
2
⇒
ba
b
2
a
(
bab
)
2
⇒
bab
# ab:aa=1,babbb=baba ba aa=1 babbb=baba babab=babba babbab=bab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
