Infinite non-commutative monoids, one auxiliary generator

Up:Monoids with two generators and two relations
93 unique, 157 total

Solved by frequency:2/0

Σ#PresentationDescriptionRelated
104195⟨a, b | bab=abb, bbb=b⟩Infinite non-commutative monoid
104653⟨a, b | aaab=a, abaa=a⟩Infinite non-commutative monoid3 iso
104739⟨a, b | aabb=a, bbaa=a⟩Infinite non-commutative monoid2 iso
106248⟨a, b | aaa=a, aabab=a⟩Infinite non-commutative monoid1 iso
106436⟨a, b | aab=b, bbabb=a⟩Infinite non-commutative monoid
106534⟨a, b | aaa=a, aaba=ab⟩Infinite non-commutative monoid
106556⟨a, b | aaa=a, babb=ab⟩Infinite non-commutative monoid
109145⟨a, b | aa=a, abab=abb⟩Infinite non-commutative monoid3 iso
109147⟨a, b | aa=a, abab=bab⟩Infinite non-commutative monoid3 iso
109154⟨a, b | aa=a, abba=bab⟩Infinite non-commutative monoid2 iso
109785⟨a, b | aa=1, babbbab=b⟩Infinite non-commutative monoid1 iso
1112454⟨a, b | aabb=ab, abaa=a⟩Infinite non-commutative monoid
1112635⟨a, b | babb=ab, bbbb=b⟩Infinite non-commutative monoid
1112932⟨a, b | aba=aab, aaaa=a⟩Infinite non-commutative monoid
1113164⟨a, b | aba=aab, baa=ba⟩Infinite non-commutative monoid
1113243⟨a, b | baa=abb, bbb=bb⟩Infinite non-commutative monoid
1113265⟨a, b | bab=abb, bbb=bb⟩Infinite non-commutative monoid
1114339⟨a, b | aaaa=a, aabab=a⟩Infinite non-commutative monoid
1116056⟨a, b | aaa=bb, aabb=aa⟩Infinite non-commutative monoid1 iso
1116162⟨a, b | aab=ab, abaa=ab⟩Infinite non-commutative monoid
1116324⟨a, b | aab=bb, bbaa=bb⟩Infinite non-commutative monoid
1119155⟨a, b | aba=a, bbaabb=b⟩Infinite non-commutative monoid
1119248⟨a, b | aaa=a, aabaa=ab⟩Infinite non-commutative monoid
1119794⟨a, b | aaa=a, aaba=baa⟩Infinite non-commutative monoid
1119803⟨a, b | aaa=a, aabb=bab⟩Infinite non-commutative monoid
1119809⟨a, b | aaa=a, abab=abb⟩Infinite non-commutative monoid
1119811⟨a, b | aaa=a, abab=bab⟩Infinite non-commutative monoid
1119818⟨a, b | aaa=a, abba=bab⟩Infinite non-commutative monoid
1120133⟨a, b | aab=b, baba=bab⟩Infinite non-commutative monoid
1121777⟨a, b | aaa=1, babbbab=b⟩Infinite non-commutative monoid1 iso
1122785⟨a, b | aaa=1, abaab=bab⟩Infinite non-commutative monoid
1123314⟨a, b | aaa=1, babb=baba⟩Infinite non-commutative monoid
1124173⟨a, b | aa=a, babbbab=b⟩Infinite non-commutative monoid1 iso
1125188⟨a, b | aa=a, ababa=bab⟩Infinite non-commutative monoid
1127156⟨a, b | aa=1, abbbabb=bb⟩Infinite non-commutative monoid
1127760⟨a, b | aa=1, bbabbb=bba⟩Infinite non-commutative monoid
1128284⟨a, b | aa=1, bbabb=babb⟩Infinite non-commutative monoid

Solved by frequency:2/1

Σ#PresentationDescriptionRelated
8960⟨a, b | aa=a, aba=ab⟩Infinite non-commutative monoid13 iso
91697⟨a, b | bab=ab, bbb=b⟩Infinite non-commutative monoid
93009⟨a, b | aa=a, aaba=ba⟩Infinite non-commutative monoid5 iso
104626⟨a, b | aaaa=a, baab=a⟩Infinite non-commutative monoid
105242⟨a, b | aba=ab, aaaa=a⟩Infinite non-commutative monoid
105293⟨a, b | aba=bb, bbbb=b⟩Infinite non-commutative monoid2 iso
105299⟨a, b | aaa=aa, aba=ab⟩Infinite non-commutative monoid
105374⟨a, b | aab=ab, aba=ab⟩Infinite non-commutative monoid3 iso
105375⟨a, b | aab=ab, aba=ba⟩Infinite non-commutative monoid1 iso
106535⟨a, b | aaa=a, aaba=ba⟩Infinite non-commutative monoid
109153⟨a, b | aa=a, abba=abb⟩Infinite non-commutative monoid2 iso, 1 anti-iso
109749⟨a, b | aa=1, abbabbb=b⟩Infinite non-commutative monoid1 iso
1111025⟨a, b | abba=aab, bbbb=1⟩Infinite non-commutative monoid
1112637⟨a, b | babb=ba, bbbb=b⟩Infinite non-commutative monoid
1114585⟨a, b | aaba=a, bbaaa=a⟩Infinite non-commutative monoid
1115841⟨a, b | aba=ab, aaaaa=a⟩Infinite non-commutative monoid
1115953⟨a, b | aaa=aa, aaba=ab⟩Infinite non-commutative monoid
1115954⟨a, b | aaa=aa, aaba=ba⟩Infinite non-commutative monoid
1116163⟨a, b | aab=ab, abaa=ba⟩Infinite non-commutative monoid
1116373⟨a, b | aba=ab, aaaa=aa⟩Infinite non-commutative monoid
1116378⟨a, b | aba=ab, aaab=ab⟩Infinite non-commutative monoid
1116390⟨a, b | aba=ab, abaa=ab⟩Infinite non-commutative monoid
1116407⟨a, b | aba=ab, baaa=ba⟩Infinite non-commutative monoid
1116544⟨a, b | aba=ba, baa=aba⟩Infinite non-commutative monoid
1119240⟨a, b | aaa=a, aaaba=ab⟩Infinite non-commutative monoid2 iso
1119241⟨a, b | aaa=a, aaaba=ba⟩Infinite non-commutative monoid
1119817⟨a, b | aaa=a, abba=abb⟩Infinite non-commutative monoid
1120217⟨a, b | aba=a, abba=abb⟩Infinite non-commutative monoid
1125187⟨a, b | aa=a, ababa=abb⟩Infinite non-commutative monoid
1125209⟨a, b | aa=a, abbba=abb⟩Infinite non-commutative monoid
1125678⟨a, b | aa=a, abba=abab⟩Infinite non-commutative monoid
1125698⟨a, b | aa=a, baba=abab⟩Infinite non-commutative monoid

Solved by frequency:2/2

Σ#PresentationDescriptionRelated
8569⟨a, b | aaa=a, bab=a⟩Infinite non-commutative monoid8 iso
104199⟨a, b | bba=abb, bbb=b⟩Infinite non-commutative monoid
106270⟨a, b | aaa=a, babab=a⟩Infinite non-commutative monoid
106274⟨a, b | aaa=a, bbabb=a⟩Infinite non-commutative monoid
106525⟨a, b | aba=b, bbbbb=b⟩Infinite non-commutative monoid
1116536⟨a, b | aba=ab, baa=aab⟩Infinite non-commutative monoid
1122833⟨a, b | aaa=1, baabb=abb⟩Infinite non-commutative monoid

Solved by frequency:3/0

Σ#PresentationDescriptionRelated
1119831⟨a, b | aaa=a, baab=abb⟩Infinite non-commutative monoid
1122287⟨a, b | aaa=1, abbbba=bb⟩Infinite non-commutative monoid
1122855⟨a, b | aaa=1, bbabb=abb⟩Infinite non-commutative monoid
1123326⟨a, b | aaa=1, bbbb=abba⟩Infinite non-commutative monoid
1126689⟨a, b | aa=1, babbbbab=b⟩Infinite non-commutative monoid1 iso
1127144⟨a, b | aa=1, abbabba=bb⟩Infinite non-commutative monoid2 iso

Solved by frequency:3/1

Σ#PresentationDescriptionRelated
106342⟨a, b | aab=a, abbaa=a⟩Infinite non-commutative monoid1 iso
106624⟨a, b | aab=a, abba=ba⟩Infinite non-commutative monoid
106746⟨a, b | aba=a, abba=ab⟩Infinite non-commutative monoid
1010016⟨a, b | aa=1, abbabb=bb⟩Infinite non-commutative monoid1 iso
1113272⟨a, b | bba=abb, bbb=bb⟩Infinite non-commutative monoid
1125201⟨a, b | aa=a, abbab=abb⟩Infinite non-commutative monoid
1125251⟨a, b | aa=a, bbabb=abb⟩Infinite non-commutative monoid

Solved by frequency:4/0

Σ#PresentationDescriptionRelated
107791⟨a, b | aaa=1, ababb=ba⟩Infinite non-commutative monoid1 iso, 1 anti-iso

Solved by frequency:5/1

Σ#PresentationDescriptionRelated
106828⟨a, b | aba=a, baa=aab⟩Infinite non-commutative monoid

Solved by frequency:7/0

Σ#PresentationDescriptionRelated
1113054⟨a, b | baa=aab, abba=a⟩Infinite non-commutative monoid

Solved by frequency:13/0

Σ#PresentationDescriptionRelated
1111590⟨a, b | baaab=a, bbbbb=1⟩Infinite non-commutative monoid1 iso