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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 177, Pages 74–79
DOI: https://doi.org/10.36535/0233-6723-2020-177-74-79 (Mi into600) 		 
On the sum of orders of elements in finite groups

M. Herzoga, P. Longobardib, M. Majb

a Tel Aviv University
b University of Salerno
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DOI: https://doi.org/10.36535/0233-6723-2020-177-74-79
Abstract: This paper is a survey of some recent authors' results concerning the function $\psi(G)$, which is the sum of orders of elements of a finite group. More precisely, the authors consider the question how the value of $\psi(G)$ affects the structure of $G$.
Keywords: order of element of group, solvable group, finite group.
Document Type: Article
UDC: 512.542.74, 512.544
MSC: 20D60, 20E34, 20F16
Language: Russian
Citation: M. Herzog, P. Longobardi, M. Maj, “On the sum of orders of elements in finite groups”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 177, VINITI, Moscow, 2020, 74–79
Citation in format AMSBIB
\Bibitem{HerLonMaj20}
\by M.~Herzog, P.~Longobardi, M.~Maj
\paper On the sum of orders of elements in finite groups
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 177
\pages 74--79
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into600}
\crossref{https://doi.org/10.36535/0233-6723-2020-177-74-79}
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