#2590 ⟨
a
,
b
|
ababab
=
aaab
⟩
Up:
Monoids with two generators and one relation
Prev:
#2589
⟨
a
,
b
|
ababab
=
aaaa
⟩
Next:
#2591
⟨
a
,
b
|
ababab
=
aaba
⟩
Properties
Presentation has sum-of-sides 10
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(
b
) = 0; deg(
c
) = deg(
a
) = 1,
c
<
a
Auxiliary generator:
aaab=c
abc
⇒
cab
a
2
c
⇒
c
(
ab
)
2
a
3
b
⇒
c
(
ab
)
3
⇒
c
# ab:ababab=aaab b/ca aaab=c magic:0 abc=cab aac=cabab aaab=c ababab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
