#17680 ⟨
a
,
b
|
aaaa
=1,
babbb
=
ba
⟩
Up:
Monoids with two generators and two relations
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#17679
⟨
a
,
b
|
aaaa
=1,
babbb
=
ab
⟩
Next:
#17681
⟨
a
,
b
|
aaaa
=1,
babbb
=
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
<
b
a
4
⇒ 1
b
4
⇒
b
ba
b
3
⇒
ba
b
a
2
b
3
⇒
b
a
2
b
a
3
b
3
⇒
b
a
3
# ab:aaaa=1,babbb=ba ab aaaa=1 bbbb=b babbb=ba baabbb=baa baaabbb=baaa
Right Cayley graph (truncated)
Left Cayley graph (truncated)
