๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Prime Power Factorization of n!

โœ Scribed by Yong-Gao Chen; Yao-Chen Zhu


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
105 KB
Volume
82
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

โœฆ Synopsis


The parity of exponents in the prime power factorization of n! is considered. We extend and generalize Berend's result in [On the parity of exponents in the factorization of n!,


๐Ÿ“œ SIMILAR VOLUMES


On the Parity of Exponents in the Prime
โœ J.W. Sander ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

In 1997 Berend proved a conjecture of Erdo s and Graham by showing that for every positive integer r there are infinitely many positive integers n with the property that where p(1)=2, p(2)=3, p(3)=5, ... is the sequence of primes in ascending order, and e p (m) denotes the order of the prime p in t

On Camina Groups of Prime Power Order
โœ Rex Dark; Carlo M. Scoppola ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB
Classification of the Hopf Galois Struct
โœ Timothy Kohl ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB

Let p be an odd prime and n a positive integer and let k be a field of ลฝ . r p and let r denote the largest integer between 0 and n such that K l k s p ลฝ . r r r k , where denotes a primitive p th root of unity. The extension Krk is p p separable, but not necessarily normal and, by Greither and Pa