|
Some periodic groups admitting a finite regular automorphism of even order
E. B. Durakov, A. I. Sozutov Siberian Federal University, Krasnoyarsk
Abstract:
We study the structure of an infinite group with automorphism of order $2p$ where $p$ is an odd prime leaving only the identity element fixed.
Keywords:
periodic group, Frobenius group, locally finite group, automorphism.
Received: 27.11.2017 Revised: 07.05.2019
Citation:
E. B. Durakov, A. I. Sozutov, “Some periodic groups admitting a finite regular automorphism of even order”, Algebra Logika, 58:1 (2019), 22–34; Algebra and Logic, 58:1 (2019), 15–22
Linking options:
https://www.mathnet.ru/eng/al879 https://www.mathnet.ru/eng/al/v58/i1/p22
|
Statistics & downloads: |
Abstract page: | 266 | Full-text PDF : | 72 | References: | 27 | First page: | 8 |
|