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Divisibility of
binomial coefficients and generation of alternating
groups
John Shareshian and Russ Woodroofe |
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Vol. 292 (2018), No. 1, 223–238
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Abstract |
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We examine an elementary problem on prime divisibility of binomial coefficients. Our problem is motivated by several related questions on alternating groups. |
Keywords
alternating group, binomial coefficients, generation, prime
density
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Mathematical Subject Classification 2010
Primary: 05A10, 05E15, 11B65, 20B30
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Milestones
Received: 25 July 2016
Revised: 12 May 2017
Accepted: 17 May 2017
Published: 22 September 2017
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Authors |
| John Shareshian | |
| Department of Mathematics Washington University in St. Louis St. Louis, MO United States |
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| Russ Woodroofe | |
| Department of Mathematics &
Statistics Mississippi State University Starkville, MS United States |
University of Primorska UP FAMNIT Koper, Slovenia |
