REAL

Representing and counting the subgroups of the group Zm × Zn

Hampejs, Mario and Holighaus, Nicki and Tóth, László and Wiesmeyr, Christoph (2014) Representing and counting the subgroups of the group Zm × Zn. JOURNAL OF NUMBERS, 2014. ISSN 2356-7511

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Abstract

We deduce a simple representation and the invariant factor decompositions of the subgroups of the group Zm × Zn, where m and n are arbitrary positive integers. We obtain formulas for the total number of subgroups and the number of subgroups of a given order.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 01 Mar 2024 11:31
Last Modified: 01 Mar 2024 11:31
URI: https://real.mtak.hu/id/eprint/189423

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