#535 ⟨
a
,
b
|
aabba
=
bba
⟩
Up:
Monoids with two generators and one relation
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#534
⟨
a
,
b
|
aabba
=
bab
⟩
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#536
⟨
a
,
b
|
aabba
=
bbb
⟩
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:
Left-to-right shortlex with
a
<
c
<
b
Auxiliary generator:
bba=c
a
2
c
⇒
c
b
2
a
⇒
c
b
2
c
⇒
cac
# ab:aabba=bba acb bba=c magic:0 aac=c bba=c bbc=cac
Right Cayley graph (truncated)
Left Cayley graph (truncated)
