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〈
a
,
b
|
aaaa
=
1
,
aabbbbb
=
1
〉
Monoid presentation of length 11
Properties
Infinite non-Abelian group
Completion parameters
Reduction order: left-to-right ab
Inverses of generators
a
-1
=
a
3
b
-1
=
a
2
b
4
Complete rewriting system
ba
2
⇒
a
2
b
a
4
⇒ 1
b
5
⇒
a
2
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
4 total
Length:
Presentation:
11
〈
a
,
b
|
aaaa
=
1
,
abbbbba
=
1
〉
11
〈
a
,
b
|
aaaa
=
1
,
baabbbb
=
1
〉
11
〈
a
,
b
|
aaaa
=
1
,
bbaabbb
=
1
〉
11
〈
a
,
b
|
aaaa
=
1
,
bbbbb
=
aa
〉