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On the prime divisors of element orders.

Authors :
Hung, Nguyen Ngoc
Yang, Yong
Source :
Mathematische Nachrichten. Oct2021, Vol. 294 Issue 10, p1905-1911. 7p.
Publication Year :
2021

Abstract

The number of different prime divisors of the order of a finite group G is bounded above by a quartic function of the maximum number of different prime divisors of the order of a single element in G. This improves earlier results of J. Zhang, T. M. Keller, and A. Moretó. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PRIME numbers
*SOLVABLE groups
*FINITE groups
*DIVISOR theory

Details

Language :
English
ISSN :
0025584X
Volume :
294
Issue :
10
Database :
Academic Search Index
Journal :
Mathematische Nachrichten
Publication Type :
Academic Journal
Accession number :
154120591
Full Text :
https://doi.org/10.1002/mana.202000249
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