Abstract
We give a description of groups with incidence condition for noncyclic subgroups to within minimal noncyclic subgroups. We present a complete constructive description of locally graded groups (in particular, arbitrary locally finite groups) satisfying this condition.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Hall, Theory of Groups [Russian translation], Inostrannaya Literatura, Moscow (1962).
A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow 1967.
S. N. Chernikov, Groups with Prescribed Properties of Systems of Subgroups [in Russian], Nauka, Moscow 1980.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chernikov, N.S., Polovitskii, Y.D. & Chechulin, V.L. Groups with incidence condition for noncyclic subgroups. Ukr Math J 48, 591–597 (1996). https://doi.org/10.1007/BF02390617
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02390617