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TO CONDITION THE MAXIMAL CONDITION FOR SUBGROUPS OF A LOCALLY SOLVABLE GROUP

https://doi.org/10.22405/2226-8383-2015-16-3-417-421

Abstract

Studied groups with restrictions on subgroups.Considered locally solvable groups with the maximal condition for subgroups. Selected subgroup of a locally solvable group, such that satisfiability for the conditions maximal condition should the feasibility of the conditions throughout the group.

About the Author

S. R. Sultanov
Рязанский государственный университет имени С. A. Есенина.
Russian Federation


References

1. Kargapolov, M. I., Merzlyakov, Yu. I. "Osnovy teorii grupp." , [Foundations of group theory] 3rd edition, Nauka, Moscow, 288 p. (Russian)

2. Pontryagin, L. S. 1984, "Nepreryvnye gruppy." , [Continuous groups] Nauka, Moscow, 520 pp. (Russian) Рязанский государственный университет имени С. A. Есенина.

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Review

For citations:


Sultanov S.R. TO CONDITION THE MAXIMAL CONDITION FOR SUBGROUPS OF A LOCALLY SOLVABLE GROUP. Chebyshevskii Sbornik. 2015;16(3):417-421. (In Russ.) https://doi.org/10.22405/2226-8383-2015-16-3-417-421

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ISSN 2226-8383 (Print)