#984 ⟨
a
,
b
|
ababaab
=
ba
⟩
Up:
Monoids with two generators and one relation
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#983
⟨
a
,
b
|
ababaab
=
ab
⟩
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#985
⟨
a
,
b
|
ababaab
=
bb
⟩
Properties
Presentation has sum-of-sides 9
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
) = deg(
c
) = 0,
b
<
c
; deg(
a
) = 1
Auxiliary generator:
abaab=c
c
8
b
⇒
bc
ba
⇒
abc
ca
⇒
a
c
4
a
3
b
c
5
b
⇒
c
# ab:ababaab=ba bc/a abaab=c frequency:5/1 ccccccccb=bc ba=abc ca=acccc aaabcccccb=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
