#10049 ⟨
a
,
b
|
aa
=1,
babbab
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#10046
⟨
a
,
b
|
aa
=1,
bababb
=
bb
⟩
Next:
#10053
⟨
a
,
b
|
aa
=1,
babbbb
=
bb
⟩
Properties
Presentation has sum-of-sides 10
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
b
3
ab
⇒
ba
b
3
(
bab
)
2
⇒
b
2
# ab:aa=1,babbab=bb ab aa=1 bbbab=babbb babbab=bb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
