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.
Azad,A. , Fouladi,S. and Orfi,R. (2013). Maximal subsets of pairwise non-commuting elements of some finite p-groups. Bulletin of the Iranian Mathematical Society, 39(1), 187-192.
MLA
Azad,A. , , Fouladi,S. , and Orfi,R. . "Maximal subsets of pairwise non-commuting elements of some finite p-groups", Bulletin of the Iranian Mathematical Society, 39, 1, 2013, 187-192.
HARVARD
Azad A., Fouladi S., Orfi R. (2013). 'Maximal subsets of pairwise non-commuting elements of some finite p-groups', Bulletin of the Iranian Mathematical Society, 39(1), pp. 187-192.
CHICAGO
A. Azad, S. Fouladi and R. Orfi, "Maximal subsets of pairwise non-commuting elements of some finite p-groups," Bulletin of the Iranian Mathematical Society, 39 1 (2013): 187-192,
VANCOUVER
Azad A., Fouladi S., Orfi R. Maximal subsets of pairwise non-commuting elements of some finite p-groups. BIMS, 2013; 39(1): 187-192.
