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