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Izv. Akad. Nauk SSSR Ser. Mat., 1965, Volume 29, Issue 1, Pages 149–170 (Mi izv2903)  

This article is cited in 21 scientific papers (total in 21 papers)

Wreath products and varieties of groups

A. L. Shmel'kin

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Bibliographic databases:
UDC: 519.4
Received: 05.05.1964

Citation: A. L. Shmel'kin, “Wreath products and varieties of groups”, Izv. Akad. Nauk SSSR Ser. Mat., 29:1 (1965), 149–170

Citation in format AMSBIB
\by A.~L.~Shmel'kin
\paper Wreath products and varieties of groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1965
\vol 29
\issue 1
\pages 149--170

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    This publication is cited in the following articles:
    1. A. L. Shmel'kin, “A note to my paper “Wreath products and varieties of groups””, Math. USSR-Izv., 1:2 (1967), 433–434  mathnet  crossref  mathscinet  zmath
    2. M. A. Bronshtein, “On polynilpotent products of groups”, Math. USSR-Izv., 1:3 (1967), 651–666  mathnet  crossref  mathscinet  zmath
    3. A. L. Shmel'kin, “On free polynilpotent groups”, Math. USSR-Izv., 1:5 (1967), 1065–1080  mathnet  crossref  mathscinet  zmath
    4. A. L. Shmel'kin, “On free products of groups”, Math. USSR-Sb., 8:4 (1969), 593–597  mathnet  crossref  mathscinet  zmath
    5. Yu. V. Kuz'min, “The variety of metabelian $\mathscr D$-groups”, Math. USSR-Izv., 6:4 (1972), 759–781  mathnet  crossref  mathscinet  zmath
    6. S. M. Vovsi, “The semigroup of prevarieties of linear group representations”, Math. USSR-Sb., 22:3 (1974), 410–426  mathnet  crossref  mathscinet  zmath
    7. Yu. V. Kuz'min, “On elements of finite order in free groups of certain varieties”, Math. USSR-Sb., 47:1 (1984), 115–126  mathnet  crossref  mathscinet  zmath
    8. Yu. V. Kuz'min, “The structure of free groups of certain varieties”, Math. USSR-Sb., 53:1 (1986), 131–145  mathnet  crossref  mathscinet  zmath
    9. M. I. Anokhin, “On the word problem and the conjugacy problem for groups of the form $F/V(R)$”, Math. Notes, 61:1 (1997), 3–8  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. D. V. Osin, “On the growth of rank for subgroups of finitely generated groups”, Sb. Math., 190:8 (1999), 1151–1172  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    11. A. M. Vershik, “Dynamic theory of growth in groups: Entropy, boundaries, examples”, Russian Math. Surveys, 55:4 (2000), 667–733  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    12. R. V. Mikhailov, “Residual nilpotence and residual solubility of groups”, Sb. Math., 196:11 (2005), 1659–1675  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    13. A. Ballester-Bolinches, C. Calvo, “Factorizations of one-generated $\mathfrak X$-local formations”, Siberian Math. J., 50:3 (2009), 385–394  mathnet  crossref  mathscinet  isi  elib
    14. “Lower Central and Dimension Series of Groups”, Lower Central and Dimension Series of Groups, 1952 (2009), XVII  isi
    15. R. Mikhailov, “Homotopical and Combinatorial Aspects of the Theory of Normal Series in Groups”, Proc. Steklov Inst. Math., 286, suppl. 1 (2014), S1–S135  mathnet  crossref  crossref  isi  elib
    16. E. I. Timoshenko, “Normal automorphisms of a soluble product of abelian groups”, Siberian Math. J., 56:1 (2015), 191–198  mathnet  crossref  mathscinet  isi  elib  elib
    17. V. H. Mikaelian, “Varieties generated by wreath products of Abelian and nilpotent groups”, Algebra and Logic, 54:1 (2015), 70–73  mathnet  crossref  crossref  mathscinet  isi
    18. V. H. Mikaelian, “The criterion of Shmel'kin and varieties generated by wreath products of finite groups”, Algebra and Logic, 56:2 (2017), 108–115  mathnet  crossref  crossref  mathscinet  isi
    19. V. H. Mikaelian, “On the classification of varieties generated by wreath products of groups”, Izv. Math., 82:5 (2018), 1006–1018  mathnet  crossref  crossref  adsnasa  isi  elib
    20. Mikaelian V.H., “K-P-Series and Varieties Generated By Wreath Products of P-Groups”, Int. J. Algebr. Comput., 28:8, SI (2018), 1693–1703  crossref  mathscinet  zmath  isi  scopus
    21. O. V. Kulikova, A. Yu. Olshanskii, “O moschnosti mnozhestva opredelyayuschikh sootnoshenii gruppy $F/\prod [N_i,N_j]$”, Fundament. i prikl. matem., 22:4 (2019), 129–136  mathnet
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