#25201 ⟨
a
,
b
|
aa
=
a
,
abbab
=
abb
⟩
Up:
Monoids with two generators and two relations
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#25200
⟨
a
,
b
|
aa
=
a
,
abbab
=
aba
⟩
Next:
#25203
⟨
a
,
b
|
aa
=
a
,
abbab
=
bab
⟩
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
<
c
<
b
Auxiliary generator:
abb=c
a
2
⇒
a
ac
⇒
c
cb
⇒
c
2
a
b
2
⇒
c
cab
⇒
c
# ab:aa=a,abbab=abb acb abb=c frequency:3/1 aa=a ac=c cb=cc abb=c cab=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
