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math.GR2014
Maximal subset of pairwise non-commuting elements of finite minimal non-Abelian groups
S. Fouladi, R. Orfi, A. Azad
Let G be a group. A subset X of G is a set of pairwise non-commuting elements if xy is not equal to yx for any two distinct elements x and y in X. If |X|>=|Y| for any other set of…
math.GR2013★ 5 cited
Noninner automorphisms of order p in finite p-groups of coclass 2, when p > 2
S. Fouladi, R. Orfi
It is shown that if G is a finite p-group of coclass 2 with p > 2, then G has a noninner automorphism of order p.
math.GR2011
Groups of Order 2048 with Three Generators and Three Relations
Shirin Fouladi, Reza Orfi
It is shown that there are exactly seventy-eight 3-generator 2- groups of order 2^11 with trivial Schur multiplier. We then give 3-generator, 3-relation presentations for forty-eig…