Divisibility of binomial coefficients and generation of alternating groups

DOI10.2140/pjm.2018.292.223zbMath1371.05007arXiv1505.05143OpenAlexW1602603720MaRDI QIDQ2408273

John Shareshian, Russ Woodroofe

Publication date: 12 October 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.05143

zbMATH Keywords

generationalternating groupbinomial coefficientsprime density

Mathematics Subject Classification ID

Related Items (5)

Order complexes of coset posets of finite groups are not contractible. ⋮ sgdiv_pub ⋮ On the divisibility of binomial coefficients ⋮ On the indices of maximal subgroups and the normal primary coverings of finite groups ⋮ On invariable generation of alternating groups by elements of prime and prime power order

Uses Software

• GAP
• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Invariable generation and the Chebotarev invariant of a finite group.
• Invariable generation with elements of coprime prime-power orders.
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Random sets which invariably generate the symmetric group
• Fixed-point sets of group actions on finite acyclic complexes
• Invariable generation of the symmetric group
• The probabilistic zeta function of finite simple groups.
• A new solvability criterion for finite groups
• Harald Cramér and the distribution of prime numbers
• Almost all short intervals containing prime numbers
• Hall subgroups of the symmetric groups
• On the order of magnitude of the difference between consecutive prime numbers
• The Difference between Consecutive Prime Numbers
• Fixed-Point Theorems for Periodic Transformations

This page was built for publication: Divisibility of binomial coefficients and generation of alternating groups