〈a, b | aaa=1, bbabbb=a〉

Monoid presentation of length 10

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 ⇒ ab¹⁶
a³ ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

2 unique, 6 total

Length:	Presentation:	Description:	Related:
11	〈a, b \| aaa=1, aabbbabb=1〉	Finite non-Abelian group with 105 elements	3 isomorphic, 1 anti-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, aabbabbb=1〉
11	〈a, b \| aaa=1, abbbaabb=1〉
11	〈a, b \| aaa=1, baabbabb=1〉