#25054 ⟨
a
,
b
|
ab
=
a
,
bbaaaa
=
ba
⟩
Up:
Monoids with two generators and two relations
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#25052
⟨
a
,
b
|
ab
=
a
,
bbaaaa
=
aa
⟩
Next:
#25055
⟨
a
,
b
|
ab
=
a
,
bbaaaa
=
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
ab
⇒
a
b
2
a
⇒
ba
a
5
⇒
a
2
b
a
4
⇒
ba
# ab:ab=a,bbaaaa=ba ab ab=a bba=ba aaaaa=aa baaaa=ba
Right Cayley graph (truncated)
Left Cayley graph (truncated)
