#21760 ⟨
a
,
b
|
aaa
=1,
baabaab
=
a
⟩
Up:
Monoids with two generators and two relations
Prev:
#21751
⟨
a
,
b
|
aaa
=1,
abbbbbb
=
b
⟩
Next:
#21761
⟨
a
,
b
|
aaa
=1,
baabaab
=
b
⟩
Properties
Presentation has sum-of-sides 11
Infinite non-Abelian group
Inverses of generators:
a
-1
=
a
2
b
-1
=
a
2
(
b
a
2
)
2
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
b
(
a
2
b
)
2
⇒
a
# ab:aaa=1,baabaab=a ab aaa=1 baabaab=a
Right Cayley graph (truncated)
Left Cayley graph (truncated)
