2022
DOI: 10.48550/arxiv.2208.01415
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Cyclic and Abelian CLT groups

Abstract: A group G of order n is said to be an ACLT (CCLT) group, if for every divisor d of n, where d < n, G has an abelian (cyclic) subgroup of order d. A natural number n is said to be an ACLT (CCLT) number if every group of order n is an ACLT (CCLT) group. In this paper we find all ACLT and CCLT numbers and study various properties of ACLT (CCLT) groups.

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