1971-03-23
Permutation representations and the subgroup lattice
Publication
Publication
Presented at the
2nd ACM Symposium on Symbolic and Algebraic Manipulation, SYMSAC 1971 (March 1971), Los Angeles
There is a close correspondence between the set of subgroups of a finite group G and the set of inequivalent transitive permutation representations of G . For many purposes the latter is as useful as the former and more easily calculated. The present paper describes a program which computes a complete set of transitive permutation representations of G (specified by their values on a fixed set of generators of G ) whenever a single faithful permutation representation of G is supplied.
Additional Metadata | |
---|---|
2nd ACM Symposium on Symbolic and Algebraic Manipulation, SYMSAC 1971 | |
Organisation | School of Mathematics and Statistics |
Dixon, J.D. (1971). Permutation representations and the subgroup lattice. In Proceedings of the 2nd ACM Symposium on Symbolic and Algebraic Manipulation, SYMSAC 1971 (pp. 159–161).
|