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., 2014, Volume 7, Issue 1,Pages <nobr>95

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

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.

UDC: 519.21

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

Language: English