#10537 ⟨
a
,
b
|
aa
=1,
bbbb
=
babb
⟩
Up:
Monoids with two generators and two relations
Prev:
#10527
⟨
a
,
b
|
aa
=1,
bbab
=
babb
⟩
Next:
#10612
⟨
a
,
b
|
aaaa
=
aaa
,
bbbb
=1⟩
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
b
<
a
a
2
⇒ 1
ba
b
2
⇒
b
4
# ab:aa=1,bbbb=babb ba aa=1 babb=bbbb
Right Cayley graph (truncated)
Left Cayley graph (truncated)
