Report
Impartial achievement games for generating nilpotent groups
| العنوان: | Impartial achievement games for generating nilpotent groups |
|---|---|
| المؤلفون: | Benesh, Bret J., Ernst, Dana C., Sieben, Nandor |
| المصدر: | J. Group Theory 22(3), 515-527, 2019 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Combinatorics, 91A46, 20D30 |
| الوصف: | We study an impartial game introduced by Anderson and Harary. The game is played by two players who alternately choose previously-unselected elements of a finite group. The first player who builds a generating set from the jointly-selected elements wins. We determine the nim-numbers of this game for finite groups of the form $T \times H$, where $T$ is a $2$-group and $H$ is a group of odd order. This includes all nilpotent and hence abelian groups. Comment: 10 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1805.01409 |
| رقم الانضمام: | edsarx.1805.01409 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |