Coset Enumeration in a Finitely Presented Semigroup
1978 ◽
Vol 21
(1)
◽
pp. 37-46
◽
Keyword(s):
Group B
◽
The enumeration method for finite groups, the so-called Todd-Coxeter process, has been described in [2], [3]. Leech [4] and Trotter [5] carried out the process of coset enumeration for groups on a computer. However Mendelsohn [1] was the first to present a formal proof of the fact that this process ends after a finite number of steps and that it actually enumerates cosets in a group. Dietze and Schaps [7] used Todd-Coxeter′s method to find all subgroups of a given finite index in a finitely presented group. B. H. Neumann [8] modified Todd-Coxeter′s method to enumerate cosets in a semigroup, giving however no proofs of the effectiveness of this method nor that it actually enumerates cosets in a semigroup.
1999 ◽
Vol 67
(2)
◽
pp. 206-213
◽
Keyword(s):
1974 ◽
Vol 26
(4)
◽
pp. 769-782
◽
Keyword(s):
1976 ◽
Vol 20
(1)
◽
pp. 73-79
◽
Keyword(s):
2020 ◽
Vol 100
(4)
◽
pp. 136-142
Keyword(s):
1977 ◽
Vol 18
(1)
◽
pp. 51-56
◽
Keyword(s):
1991 ◽
Vol 01
(03)
◽
pp. 339-351
Keyword(s):
1978 ◽
Vol 19
(2)
◽
pp. 153-154
◽
Keyword(s):
1993 ◽
Vol 36
(1)
◽
pp. 55-68
◽
Keyword(s):