A Group Sum Inequality And Its Application To Power Graphs
Work
Year: 2014
Type: article
Abstract: Let $G$ be a finite group of order $n$, and let $C_n$ be the cyclic group of order $n$. We show that $\sum_{g \in C_n} ϕ(\mathrm{o}(g))\geq \sum_{g \in G} ϕ(\mathrm{o}(g))$, with equality if and only ... more
Authors Brian Curtin, Gholam Reza Pourgholi
Institutions University of South Florida, University of Tehran
Cites: 11
Cited by: 6
Related to: 10
FWCI: 1.86
Citation percentile (by year/subfield): 68.3
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze