#27731 ⟨
a
,
b
|
aa
=1,
bababb
=
bab
⟩
Up:
Monoids with two generators and two relations
Prev:
#27695
⟨
a
,
b
|
aa
=1,
abbbbb
=
bbb
⟩
Next:
#27733
⟨
a
,
b
|
aa
=1,
bababb
=
bbb
⟩
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
2
⇒ 1
(
ba
)
2
b
2
⇒
bab
# ab:aa=1,bababb=bab ab aa=1 bababb=bab
Right Cayley graph (truncated)
Left Cayley graph (truncated)
