The number of automorphism of a finite abelian group of rank two

Sehgal, Amit; Sehgal, Sarita; Sharma, P. K.

doi:10.1080/09720529.2015.1103469

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Cited by 3 publications

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“…This method involves using a series of contour integrals, the residue theorem and convolution of generating series to arrive at the formulas. The third method is based on an extension of results in the second author's previous paper in [20]. This will be explicated another time.…”

Section: Introductionmentioning

confidence: 95%

Counting subgroups of fixed order in finite abelian groups

Admasu¹,

Sehgal²

2018

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We use recurrence relations to derive explicit formulas for counting the number of subgroups of given order (or index) in rank 3 finite abelian p-groups and use these to derive similar formulas in few cases for rank 4. As a consequence, we answer some questions by M. Tärnäuceanu in [24] and L. Tóth in [25]. We also use other methods such as the method of fundamental group lattices introduced in [24] to derive a similar counting function in a special case of arbitrary rank finite abelian p-groups.

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Section: Introductionmentioning

confidence: 95%