Geodesic
On the sum of orders of elements in finite groups
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 74-79

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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, finite group.
Mots-clés : solvable group 
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     author = {M. Herzog and P. Longobardi and M. Maj},
     title = {On the sum of orders of elements in finite groups},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {74--79},
     publisher = {mathdoc},
     volume = {177},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_177_a7/}
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M. Herzog; P. Longobardi; M. Maj. On the sum of orders of elements in finite groups. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 74-79. http://geodesic.mathdoc.fr/item/INTO_2020_177_a7/