Maximal cyclic subgroups of a finite abelian p-group of rank two
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512.542.3 (1)
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KUMAR, Pradeep. Maximal cyclic subgroups of a finite abelian p-group of rank two. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 2(44), pp. 237-242. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 2(44) / 2020 / ISSN 1561-2848

Maximal cyclic subgroups of a finite abelian p-group of rank two

CZU: 512.542.3

Pag. 237-242

Kumar Pradeep
 
Department of Mathematics, Central University of South Bihar
 
 
Disponibil în IBN: 21 ianuarie 2021


Rezumat

Let G be a finite group. A cyclic subgroup of G that is not a proper subgroup of any other proper cyclic subgroup of G is called a maximal cyclic subgroup and the set of all maximal cyclic subgroups of G is denoted by MG. In this paper, we find the cardinality of the set MG, where G is a finite abelian p-group of rank two. As an application, we obtain the independence number of the power graph of the group G.