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math.GR2014★ 1 cited
On Logically Cyclic Groups
M. Shahryari
A group is called logically cyclic, if it contains an element such that every element of can be defined by a first order formula with parameter . The aim of this pap…
math.GR2014
A note on groups with self-normalizing cyclic subgroups
M. Shahryari
In this article, we prove that if all non-trivial cyclic subgroups of a group are self normalizing and satisfies the implication $$ \ o(x)\neq o(y)\Rightarrow o(xy)\neq o(x…