#15538 ⟨
a
,
b
|
aaa
=
bb
,
babab
=
b
⟩
Up:
Monoids with two generators and two relations
Prev:
#15532
⟨
a
,
b
|
aaa
=
bb
,
abbbb
=
b
⟩
Next:
#15539
⟨
a
,
b
|
aaa
=
bb
,
babbb
=
a
⟩
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 recursive path with deg(
a
) = 0; deg(
b
) = 1
a
18
⇒
a
3
ab
a
3
⇒
b
a
14
a
3
b
⇒
b
a
3
b
2
⇒
a
3
b
(
ab
)
2
⇒
b
# ab:aaa=bb,babab=b a/b aaaaaaaaaaaaaaaaaa=aaa abaaa=baaaaaaaaaaaaaa aaab=baaa bb=aaa babab=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
