A. L. Gavrilyuk, I. V. Khramtsov, A. S. Kondrat'ev, N. V. Maslova, “On realizability of a graph as the prime graph of a finite group”, Сиб. электрон. матем. изв., 2014, том 11,страницы 246

Эта публикация цитируется в 4 статьях

Математическая логика, алгебра и теория чисел

On realizability of a graph as the prime graph of a finite group

A. L. Gavrilyuk^abc, I. V. Khramtsov^a, A. S. Kondrat'ev^ab, N. V. Maslova^ba

^a N. N. Krasovskii Institute of Mathematics and Mechanics, 16, S. Kovalevskaja St., 620990, Ekaterinburg, Russia
^b Ural Federal University named after the first President of Russia B. N. Yeltsin, 19, Mira St., 620002, Ekaterinburg, Russia
^c Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, 980-8579, Sendai, Japan

Аннотация: The problem of the realizability of a graph as the prime graph (the Gruenberg–Kegel graph) of a finite group is considered. This problem is completely solved for graphs with at most five vertices.

Ключевые слова: finite group, prime graph (Gruenberg–Kegel graph), realizability of a graph.

УДК: 512.54

MSC: 20D60,05C25,20C20

Поступила 14 ноября 2013 г., опубликована 26 марта 2014 г.

Язык публикации: английский