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IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS

Year 2016, , 70 - 85, 01.12.2016
https://doi.org/10.24330/ieja.266184

Abstract

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.

Year 2016, , 70 - 85, 01.12.2016
https://doi.org/10.24330/ieja.266184

Abstract

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Details

Subjects Mathematical Sciences
Other ID JA95MN24AT
Journal Section Articles
Authors

Bret J. Benesh This is me

Dana C. Ernst This is me

Nandor Sieben This is me

Publication Date December 1, 2016
Published in Issue Year 2016

Cite

APA Benesh, B. J., Ernst, D. C., & Sieben, N. (2016). IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. International Electronic Journal of Algebra, 20(20), 70-85. https://doi.org/10.24330/ieja.266184
AMA Benesh BJ, Ernst DC, Sieben N. IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. IEJA. December 2016;20(20):70-85. doi:10.24330/ieja.266184
Chicago Benesh, Bret J., Dana C. Ernst, and Nandor Sieben. “IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS”. International Electronic Journal of Algebra 20, no. 20 (December 2016): 70-85. https://doi.org/10.24330/ieja.266184.
EndNote Benesh BJ, Ernst DC, Sieben N (December 1, 2016) IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. International Electronic Journal of Algebra 20 20 70–85.
IEEE B. J. Benesh, D. C. Ernst, and N. Sieben, “IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS”, IEJA, vol. 20, no. 20, pp. 70–85, 2016, doi: 10.24330/ieja.266184.
ISNAD Benesh, Bret J. et al. “IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS”. International Electronic Journal of Algebra 20/20 (December 2016), 70-85. https://doi.org/10.24330/ieja.266184.
JAMA Benesh BJ, Ernst DC, Sieben N. IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. IEJA. 2016;20:70–85.
MLA Benesh, Bret J. et al. “IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS”. International Electronic Journal of Algebra, vol. 20, no. 20, 2016, pp. 70-85, doi:10.24330/ieja.266184.
Vancouver Benesh BJ, Ernst DC, Sieben N. IMPARTIAL AVOIDANCE AND ACHIEVEMENT GAMES FOR GENERATING SYMMETRIC AND ALTERNATING GROUPS. IEJA. 2016;20(20):70-85.