#16458 ⟨
a
,
b
|
aba
=
bb
,
abba
=
bb
⟩
Up:
Monoids with two generators and two relations
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#16455
⟨
a
,
b
|
aba
=
bb
,
abab
=
bb
⟩
Next:
#16459
⟨
a
,
b
|
aba
=
bb
,
abbb
=
aa
⟩
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
b
<
a
aba
⇒
b
2
a
b
3
⇒
b
3
a
a
b
2
a
⇒
b
2
b
4
a
⇒
b
3
a
b
3
ab
⇒
b
3
a
b
3
a
2
⇒
b
5
b
6
⇒
b
5
# ab:aba=bb,abba=bb ba aba=bb abbb=bbba abba=bb bbbba=bbba bbbab=bbba bbbaa=bbbbb bbbbbb=bbbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
