Rewriteable Sequencings of Groups

Authors

Jeanne Nielsen, Duke University

Document Type

Article

Publication Date

8-1990

Abstract

A finite group is called P_n-sequenceable if its nonidentity elements can be listed x₁ , x₂ , ..., x_k so that the product x _i x _i+i · · · x _i+n-1 can be rewritten in at least one nontrivial way for all i. It is shown that S_n , A_n , D_n are P₃-sequenceable, that every finite simple group is P₄ -sequenceable, and that every finite group is P_s-sequenceable. It is conjectured that every finite group is P₃-sequenceable.

Comments

MSTR 90-06

Recommended Citation

Nielsen, Jeanne, "Rewriteable Sequencings of Groups" (1990). Mathematical Sciences Technical Reports (MSTR). 145.
https://scholar.rose-hulman.edu/math_mstr/145