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On a Problem Posed by Belcastro and Sherman
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  • Journal title : Kyungpook mathematical journal
  • Volume 56, Issue 1,  2016, pp.121-123
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2016.56.1.121
 Title & Authors
On a Problem Posed by Belcastro and Sherman
Dutta, Jutirekha;
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In this paper, we compute the number of distinct centralizers and commutativity degree of a class of finite groups. These computations produce a further class of examples of groups answering one question raised by Belcastro and Sherman and another one raised by Lescot.
finite group;centralizer;commutativity degree;
 Cited by
A. R. Ashrafi, On finite groups with a given number of centralizers, Algebra Colloquium, 7(2)(2000), 139-146. crossref(new window)

A. R. Ashrafi, Counting the centralizers of some finite groups, Korean J. Comput. & Appl. Math, 7(1)(2000), 115-124.

S. M. Belcastro and G. J. Sherman, Counting centralizers in finite groups, Math. Magazine, 67(5)(1994), 366-374. crossref(new window)

A. Castelaz, Commutativity degree of finite groups, M. A. thesis, Wake Forest University, (2010) pp: 72-103, pp: 132.

H. Doostie and M. Maghasedi, Certain classes of groups with commutativity degree d(G) < $\frac{1}{2}$, Ars Combinatoria, 89(2008), 263-270.

I. V. Erovenko and B. Sury, Commutativity degree of wreath products of finite abelian groups, Bull. Aus. Math. Soc., 77(1)(2008), 31-36.

P. Lescot, Central extensions and commutativity degree, Comm. Algebra, 29(10)(2001), 4451-4460. crossref(new window)