#23314 ⟨
a
,
b
|
aaa
=1,
babb
=
baba
⟩
Up:
Monoids with two generators and two relations
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#23313
⟨
a
,
b
|
aaa
=1,
babb
=
baab
⟩
Next:
#23318
⟨
a
,
b
|
aaa
=1,
bbab
=
abbb
⟩
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 shortlex with
a
<
b
<
c
Auxiliary generator:
ba=c
ba
⇒
c
a
3
⇒ 1
c
a
2
⇒
b
c
b
2
⇒
c
2
c
2
a
⇒
cbc
cbca
⇒
cb
# ab:aaa=1,babb=baba abc ba=c frequency:2/0 ba=c aaa=1 caa=b cbb=cc cca=cbc cbca=cb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
