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Sibirsk. Mat. Zh., 2018, Volume 59, Number 5, Pages 1179–1191 (Mi smj3038)  
On groups with a Frobenius element

A. I. Sozutov, E. B. Durakov

Siberian Federal University, Krasnoyarsk, Russia

Abstract: We study groups with an $H$-Frobenius element and the nilpotent kernels of the corresponding Frobenius subgroups. We prove the two theorems that solve Question 10.61 of “The Kourovka Notebook” in this case.

Keywords: group, infinite group with finiteness conditions, Frobenius group, Frobenius subgroup, $H$-Frobenius element.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-04897-a
The authors were financially supported by the Russian Foundation for Basic Research (Grant 15-01-04897-a).


DOI: https://doi.org/10.17377/smzh.2018.59.518

Full text: PDF file (325 kB)
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English version:
Siberian Mathematical Journal, 2018, 59:5, 938–946

Bibliographic databases:

UDC: 512.544
MSC: 35R30
Received: 27.11.2017

Citation: A. I. Sozutov, E. B. Durakov, “On groups with a Frobenius element”, Sibirsk. Mat. Zh., 59:5 (2018), 1179–1191; Siberian Math. J., 59:5 (2018), 938–946

Citation in format AMSBIB
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\paper On groups with a~Frobenius element
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\pages 1179--1191
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