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A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS
Published online by Cambridge University Press: 27 September 2010
Abstract
In this paper, we classify the finite groups belonging to the class of cyclic-transitive groups. A group G is said to be cyclic-transitive if the following condition holds: if x, y, z are nonidentity elements of G such that 〈x,y〉 and 〈y,z〉 are both cyclic, then 〈x,z〉 is also cyclic.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2010
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