#21725 ⟨
a
,
b
|
aaa
=1,
abababb
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#21255
⟨
a
,
b
|
aaa
=1,
bbbbbbbb
=1⟩
Next:
#21729
⟨
a
,
b
|
aaa
=1,
ababbba
=
b
⟩
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
a
3
⇒ 1
(
ba
)
2
b
2
⇒
a
2
b
b
(
ab
)
3
⇒
b
(
ba
)
3
ab
⇒
ab
# ab:aaa=1,abababb=b ab aaa=1 bababb=aab bababab=b bababaab=ab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
