#401 ⟨
a
,
b
|
ababaab
=
a
⟩
Up:
Monoids with two generators and one relation
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#400
⟨
a
,
b
|
abaabba
=
b
⟩
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#402
⟨
a
,
b
|
ababaab
=
b
⟩
Properties
Presentation has sum-of-sides 8
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:
Right-to-left recursive path with deg(
b
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
ab=c
ab
⇒
c
c
2
ac
⇒
a
a
2
c
⇒
c
4
a
2
(
ac
)
2
⇒
c
2
a
2
# ab:ababaab=a reversed:bc/a ab=c frequency:2/0 ab=c ccac=a aac=ccccaa acac=ccaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
