paper

Impartial games on two finite Groups

arXiv:2605.24984

Abstract

In this paper, we study impartial achievement games and impartial avoidance games introduced by Anderson and Harary. Using the criteria of maximal subgroups, we study the game for Frobenius groups and non-abelian groups with all abelian subgroups.

16 pages. The 2nd author is an M.Sc. student and this work is a part of her Master's Thesis

Impartial games on two finite Groups · wovepaper