ABSTRACT

B. Gordon [17] defined a group G of order n to be sequenceable if there is a sequence g 1 , g 2 , … , g n https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9780429280092/903cf4ed-cbd9-4ecc-bd90-95916cd1752b/content/umath3_1.jpg"/> of the distinct elements of G so that the partial products g 1 , g 1 g 2 , g 1 g 2 g 3 , … , g 1 g 2 g 3 ⋯ g n https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9780429280092/903cf4ed-cbd9-4ecc-bd90-95916cd1752b/content/umath3_2.jpg"/> are distinct. Note that this forces g 1 to be the identity.