Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

The largest prime dividing the maximal order of an element of $ S\sb n$


Author: Jon Grantham
Journal: Math. Comp. 64 (1995), 407-410
MSC: Primary 11N56; Secondary 11N05, 20B30
MathSciNet review: 1270619
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We define $ g(n)$ to be the maximal order of an element of the symmetric group on n elements. Results about the prime factorization of $ g(n)$ allow a reduction of the upper bound on the largest prime divisor of $ g(n)$ to $ 1.328\sqrt {n\log n} $.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11N56, 11N05, 20B30

Retrieve articles in all journals with MSC: 11N56, 11N05, 20B30


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1995-1270619-3
Article copyright: © Copyright 1995 American Mathematical Society