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〈
a
,
b
|
aaaa
=
1
,
baabbb
=
a
〉
Monoid presentation of length 11
Properties
Finite non-Abelian group with 272 elements
Completion parameters
Reduction order: right-to-left b/a
Inverses of generators
a
-1
=
b
12
ab
12
b
-1
=
b
15
Complete rewriting system
b
16
⇒ 1
a
2
⇒
b
15
ab
13
aba
⇒
b
6
ab
7
ab
2
a
⇒
b
5
ab
9
ab
3
a
⇒
b
10
ab
5
ab
4
a
⇒
b
2
ab
14
ab
5
a
⇒
b
11
ab
6
ab
6
a
⇒
b
7
ab
11
ab
7
a
⇒
b
9
ab
10
ab
8
a
⇒
b
3
ab
ab
9
a
⇒
bab
4
ab
10
a
⇒
b
14
ab
8
ab
11
a
⇒
b
4
ab
3
ab
12
a
⇒
b
4
ab
13
a
⇒
b
13
ab
12
ab
14
a
⇒
b
8
ab
2
ab
15
a
⇒
b
12
ab
15
Right Cayley graph
Left Cayley graph
Others with same cardinality
2 unique, 9 total
Length:
Presentation:
Description:
Related:
11
〈
a
,
b
|
aaaa
=
1
,
aababbb
=
1
〉
Finite non-Abelian group with 272 elements
4 isomorphic, 3 anti-isomorphic
11
〈
a
,
b
|
aaaa
=
1
,
bababb
=
a
〉
Finite non-Abelian group with 272 elements
