#17155 ⟨
a
,
b
|
aaaa
=1,
bbaabb
=
b
⟩
Up:
Monoids with two generators and two relations
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#17153
⟨
a
,
b
|
aaaa
=1,
babbbb
=
b
⟩
Next:
#17156
⟨
a
,
b
|
aaaa
=1,
bbabbb
=
a
⟩
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
a
4
⇒ 1
b
2
a
2
b
⇒
b
a
2
b
2
b
a
2
b
3
⇒
b
# ab:aaaa=1,bbaabb=b ab aaaa=1 bbaab=baabb baabbb=b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
