#19248 ⟨
a
,
b
|
aaa
=
a
,
aabaa
=
ab
⟩
Up:
Monoids with two generators and two relations
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#19246
⟨
a
,
b
|
aaa
=
a
,
aaabb
=
bb
⟩
Next:
#19249
⟨
a
,
b
|
aaa
=
a
,
aabaa
=
bb
⟩
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:
ab=c
ac
⇒
c
ab
⇒
c
cb
⇒
c
2
a
3
⇒
a
c
a
2
⇒
c
# ab:aaa=a,aabaa=ab acb ab=c frequency:2/0 ac=c ab=c cb=cc aaa=a caa=c
Right Cayley graph (truncated)
Left Cayley graph (truncated)
