Ukrainian Mathematical Journal

, Volume 48, Issue 3, pp 480–482 | Cite as

On groups factorizable in commuting almost locally normal subgroups

  • N. S. Chernikov
Brief Communications


We prove that anRN-group (in particular, locally solvable)G =G 1 G 2 ...G n withG i and π(G i ) ∩ π(G j ) = ⊘,ij is a periodic hyper-Abelian group if the subgroupsG j are almost locally normal.


Normal Subgroup Local System Group FACTORIZABLE Prime Order Normal System 
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  1. 1.
    N. S. Chernikov, “Groups factorizable in commuting periodic subgroups without elements of equal prime orders,” in:Investigations of Groups with Restrictions for Subgroups [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, (1988), pp. 98–117.Google Scholar
  2. 2.
    N. S. Chernikov, “Solvability and local solvability of factorizableRN-groups,” in:Methods for Investigation of Algebraic and Topological Structures [in Russian], Kiev Pedagogical Institute, Kiev (1989), pp. 122–129.Google Scholar
  3. 3.
    N. S. Chernikov,Groups Factorizable into a Product of Commuting Subgroups [in Russian], Naukova Dumka, Kiev 1987.Google Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • N. S. Chernikov

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