#15073 ⟨
a
,
b
|
aab
=
ab
,
aaaaaa
=1⟩
Up:
Monoids with two generators and two relations
Prev:
#15072
⟨
a
,
b
|
aab
=
aa
,
bbbbbb
=1⟩
Next:
#15137
⟨
a
,
b
|
aab
=
ba
,
aaaaaa
=1⟩
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
⇒
b
a
6
⇒ 1
# ab:aab=ab,aaaaaa=1 ab ab=b aaaaaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
