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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 10, Pages 89–93 (Mi ivm9294)  
Brief communications

Cocyclic $n$-groups

N. A. Shchuchkin

Volgograd State Socio-Pedagogical University, 27 Lenin Ave., Volgograg, 400131 Russia
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Abstract: We describe all cocyclic $n$-groups and the structure of $(n, 2)$-rings of endomorphisms of cocyclic $n$-groups. We prove that a cocyclic $n$-group is defined uniquely by its $(n, 2)$-ring of endomorphisms.
Keywords: abelian $n$-group, cocyclic $n$-group, $(n,2)$-ring of endomorphisms.
Received: 06.05.2015
Revised: 25.02.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 10, Pages 77–81
DOI: https://doi.org/10.3103/S1066369X17100115
Bibliographic databases:
Document Type: Article
UDC: 512.548
Language: Russian
Citation: N. A. Shchuchkin, “Cocyclic $n$-groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 10, 89–93; Russian Math. (Iz. VUZ), 61:10 (2017), 77–81
Citation in format AMSBIB
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