Impartial games on two finite Groups
Group Theory
2026-05-26 v1
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.
Cite
@article{arxiv.2605.24984,
title = {Impartial games on two finite Groups},
author = {Ratan Lal and Muskan and Vipul Kakkar},
journal= {arXiv preprint arXiv:2605.24984},
year = {2026}
}
Comments
16 pages. The 2nd author is an M.Sc. student and this work is a part of her Master's Thesis