Chris W. Parker, Atapattu A. C. Kanchana, “Examples of groups with the same number of subgroups of every index”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 95

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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 1, Pages 95–99 (Mi jsfu351)

Examples of groups with the same number of subgroups of every index

Chris W. Parker^a, Atapattu A. C. Kanchana^b

^a School of Mathematics, University of Birmingham, Edgbaston Birmingham B15 2TT, UK
^b Department of Mathematics & Computer Science, Faculty of Natural Sciences, Open University of Sri Lanka, Nawala, Sri Lanka

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Abstract: In this note we show that certain non-isomorphic free amalgamated products with cyclic amalgamated subgroup and the same type have the same number of subgroups of every index.

Keywords: non-isomorphic free amalgamated products.

Received: 06.09.2013
Received in revised form: 06.10.2013
Accepted: 06.11.2013

Document Type: Article

UDC: 519.21

Language: English

Citation: Chris W. Parker, Atapattu A. C. Kanchana, “Examples of groups with the same number of subgroups of every index”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 95–99

Citation in format AMSBIB

\Bibitem{ParKan14}

\by Chris~W.~Parker, Atapattu~A.~C.~Kanchana

\paper Examples of groups with the same number of subgroups of every index

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2014

\vol 7

\issue 1

\pages 95--99

\mathnet{http://mi.mathnet.ru/jsfu351}

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Журнал Сибирского федерального университета. Серия "Математика и физика"

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