Yıl 2016, Cilt 20, Sayı 20, Sayfalar 70 - 85 2016-12-01

IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS

Bret J. Benesh [1] , Dana C. Ernst [2] , Nandor Sieben [3]

174 143

Anderson and Harary introduced two impartial games on finite groups. Both games are played by two players who alternately select previouslyunselected elements of a finite group. The first player who builds a generating set from the jointly-selected elements wins the first game. The first player who cannot select an element without building a generating set loses the second game. We determine the nim-numbers, and therefore the outcomes, of these games for symmetric and alternating groups.
Impartial game, maximal subgroup, symmetric group, alternating group
Konular Matematik ve İstatistik
Diğer ID JA95MN24AT
Dergi Bölümü Makaleler
Yazarlar

Yazar: Bret J. Benesh

Yazar: Dana C. Ernst

Yazar: Nandor Sieben

Bibtex @ { ieja266184, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2016}, volume = {20}, pages = {70 - 85}, doi = {10.24330/ieja.266184}, title = {IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS}, key = {cite}, author = {Sieben, Nandor and Ernst, Dana C. and Benesh, Bret J.} }
APA Benesh, B , Ernst, D , Sieben, N . (2016). IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. International Electronic Journal of Algebra, 20 (20), 70-85. DOI: 10.24330/ieja.266184
MLA Benesh, B , Ernst, D , Sieben, N . "IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS". International Electronic Journal of Algebra 20 (2016): 70-85 <http://dergipark.gov.tr/ieja/issue/25191/266184>
Chicago Benesh, B , Ernst, D , Sieben, N . "IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS". International Electronic Journal of Algebra 20 (2016): 70-85
RIS TY - JOUR T1 - IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS AU - Bret J. Benesh , Dana C. Ernst , Nandor Sieben Y1 - 2016 PY - 2016 N1 - doi: 10.24330/ieja.266184 DO - 10.24330/ieja.266184 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 70 EP - 85 VL - 20 IS - 20 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.266184 UR - http://dx.doi.org/10.24330/ieja.266184 Y2 - 2018 ER -
EndNote %0 International Electronic Journal of Algebra IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS %A Bret J. Benesh , Dana C. Ernst , Nandor Sieben %T IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS %D 2016 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 20 %N 20 %R doi: 10.24330/ieja.266184 %U 10.24330/ieja.266184