Classification of Cwatsets Through Order 23

Authors

Ben Goodwin
Dennis Lin, Rose-Hulman Institute of Technology

Document Type

Article

Publication Date

12-6-2000

First Advisor

Gary Sherman

Abstract

A cwatset of order n can be represented by a transitive subgroup of S_n. Previous work has shown that each conjugacy class of rep­resentation groups corresponds to an isomorphism class of cwatsets. We present a technique for determining whether a particular transitive subgroup of Sn can appear as the representation group for a cwatset of order n. Using this method, we provide a full classification of cwatset isomorphism classes through order 23.

Comments

MSTR 00-15

Recommended Citation

Goodwin, Ben and Lin, Dennis, "Classification of Cwatsets Through Order 23" (2000). Mathematical Sciences Technical Reports (MSTR). 100.
https://scholar.rose-hulman.edu/math_mstr/100