〈a, b | aaa=1, aabbbabb=1〉

Monoid presentation of length 11

Properties

Finite non-Abelian group with 105 elements

Completion parameters

Reduction order: left-to-right b/a

Inverses of generators

a^-1 = a²
b^-1 = b³⁴

Complete rewriting system

b³⁵ ⇒ 1
ba ⇒ ab¹¹
a³ ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 5 total

Length:	Presentation:	Description:	Related:
10	〈a, b \| aaa=1, bbabbb=a〉	Finite non-Abelian group with 105 elements	3 isomorphic
11	〈a, b \| aaa=1, babbabb=a〉	Finite non-Abelian group with 105 elements

Other isomorphic instances

3 total

Length:	Presentation:
11	〈a, b \| aaa=1, abbaabbb=1〉
11	〈a, b \| aaa=1, baabbbab=1〉
11	〈a, b \| aaa=1, babbaabb=1〉

Other anti-isomorphic instances

1 total

Length:	Presentation:
11	〈a, b \| aaa=1, abbabbba=1〉