Advanced search
Publication Cover
Communications in Algebra Volume 48, 2020 - Issue 3
Submit an article Journal homepage
54
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups

Tetyana D. LukashovaFaculty of Physics and Mathematics, Makarenko Sumy State Pedagogical University, Sumy, UkraineCorrespondence[email protected]
Pages 1052-1057 | Received 28 Feb 2018, Accepted 10 Sep 2019, Published online: 22 Oct 2019

References

  • Baer, R. (1935). Der kern, eine charakteristische untergruppe. Comp. Math. 1:254–283.
  • Busarkin, V. M., Starostin, A. I. (1963). On splittable locally finite groups. Math. Net. 62(104):275–294.
  • Kargapolov, M. I. (1963). On O.U. Schmidt problem. Siberian Math. J. 4:232–235.
  • Lukashova, T. D. (2004). On the norm of Abelian non-cyclic subgroups in infinite locally finite p-groups (p≠2). Bull. Kiev Univ. 3:35–39.
  • Lyman, F. M. (1970). Groups, all decomposable subgroups of which are invariant. Ukrain. Math. J. 22(6):725–733.
  • Lyman, F. M., Lukashova, T. D. (2005). On infinite 2-groups with non-Dedekind norm of Abelian non-cyclic subgroups. Bull. Kiev Univ. 1:56–64.
  • Lyman, F. M., Lukashova, T. D. (2012). Infinite locally finite groups with locally nilpotent non-Dedekind norm of Abelian non-cyclic subgroups. Bull. Masherov VSU. 6:5–12.
  • Lyman, F. M., Lukashova, T. D. (2015). On the norm of decomposable subgroups in locally finite groups. English translation: Ukr. Math. J. 67(4):542–551. DOI: 10.1007/s11253-015-1099-8.
  • Lyman, F. M., Lukashova, T. D. (2015). On the norm of decomposable subgroups in nonperiodic groups. English translation: Ukr. Math. J. 67(12):1900–1912. DOI: 10.1007/s11253-016-1198-1.
  • Lyman, F. M., Lukashova, T. D., Drushlyak, M. G. (2016). Generalized norms of groups. Algebra Discr. Math. 22(1):48–80.
  • Zhurtov, A. H. (2001). Frobenius groups generated by two elements of order 3. Siberian Math. J. 42(4):533–537.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.