#22268 ⟨
a
,
b
|
aaa
=1,
ababba
=
bb
⟩
Up:
Monoids with two generators and two relations
Prev:
#22264
⟨
a
,
b
|
aaa
=1,
ababab
=
bb
⟩
Next:
#22272
⟨
a
,
b
|
aaa
=1,
ababbb
=
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:
Right-to-left recursive path with deg(
b
) = 0; deg(
a
) = 1
a
2
b
2
⇒
ba
b
2
a
aba
b
2
⇒
b
2
a
2
a
3
⇒ 1
# ab:aaa=1,ababba=bb reversed:b/a aabb=babba ababb=bbaa aaa=1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
