
06156747
j
2013e.00566
Robbins, Neville
A numbertheoretic property of finite groups.
Pioneer J. Algebra Number Theory Appl. 1, No. 2, 7378 (2011).
2011
Pioneer Scientific Publisher, Varanasi, Uttar Pradesh, India
EN
H45
F65
finite groups
Lagrange theorem
orders of elements
Euler totient function
multiplicative functions
http://www.pspchv.com/PDF
Summary: If $G$ is a finite group, let the signature of $G$, denoted by $\sigma(G)$, denote the sum of the orders of all elements of $G$. We derive some properties of $\sigma(G)$.