A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS

Author:

IMPERATORE D.,LEWIS MARK L.

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Groups in which the bounded nilpotency of two-generator subgroups is a transitive relation;Delizia;Beiträge Algebra Geom.,2007

2. Endliche Gruppen I

3. Groups in which the normaliser of every element except identity is abelian

4. Partitionen endlicher Gruppen

5. Finite groups in which some property of two-generator subgroups is transitive

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1. Characterizing finite groups whose enhanced power graphs have universal vertices;Czechoslovak Mathematical Journal;2024-04-29

2. The cyclic graph (deleted enhanced power graph) of a direct product;Involve, a Journal of Mathematics;2021-03-04

3. THE CYCLIC GRAPH OF A Z-GROUP;Bulletin of the Australian Mathematical Society;2020-12-14

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