@article {
author = {Azad, A. and Fouladi, S. and Orfi, R.},
title = {Maximal subsets of pairwise non-commuting elements of some finite p-groups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {1},
pages = {187-192},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let G be a group. A subset X of G is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in X. If |X| ≥ |Y | for any other set of pairwise non-commuting elements Y in G, then X is said to be a maximal subset of pairwise non-commuting elements. In this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian p-groups with central quotient of order less than or equal to p3 for any prime number p. As an immediate consequence we give this cardinality for any non-abelian group of order p4.},
keywords = {pairwise non-commuting elements,Finite p-group,AC-group},
url = {http://bims.iranjournals.ir/article_341.html},
eprint = {http://bims.iranjournals.ir/article_341_ed95cc075963c4991eb4ff3398515d7c.pdf}
}