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〈
a
,
b
|
aaabb
=
1
,
aabba
=
1
〉
Monoid presentation of length 10
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right cab
Auxiliary generator
bb=c
Inverses of generators
a
-1
=
ca
2
b
-1
=
a
3
b
c
-1
=
a
3
Complete rewriting system
ac
⇒
ca
bc
⇒
cb
b
2
⇒
c
ca
3
⇒ 1
ba
3
⇒
a
3
b
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
1 total
Length:
Presentation:
10
〈
a
,
b
|
aabba
=
1
,
abbaa
=
1
〉
