Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
С.И. Адян [S.I. Adjan] (1970), "Бесконечные неприводимые системы групповых тождеств" [Infinite irreducible systems of group identities], Izv. Akad. Nauk SSSR Ser. Mat. 34, 715–734; Math. USSR-Izv. 4, 721–739 (1971). MR44#4078; Zbl.221.20047; RZ [1971], 2A181.
С.И. Адян [S.I. Adjan] (1976), "Периодичесние проиэведения групп" [Periodical products of groups], Trudy Mat. Inst. Steklov. 142, 3–21. RZ [1977], 3A184.
С.И. Адян [S.I. Adian] (1978), "О простоте периодичесних пронзиедений групп", [On simple periodic products of groups], Dokl. Akad. Nauk SSSR 241, 745–748.
S.I. Adian (1979), The Burnside problem and identities in groups (translated by J. Lennox, J. Wiegold. Ergebnisse der Mathematik und ihrer Grenzgebiete, 95. Springer-Verlag, Berlin, Heidelberg, New York).
W. Burnside (1902), "On an unsettled question in the theory of discontinuous groups", Quart. J. Pure Appl. Math. 33, 230–238. FdM33,149.
Ю.Г. Нлейман [Ju.G. Kleиman] (1979), "Тождества и нвкоторые алгоритмичвские проблемы в группах" [Identities and some algorithmic problems in groups], Dokl. Akad. Nauk SSSR 244, 814–828; Soviet Math. Dokl. 20, 115–119.
Коуровская Темра∂ь. Нерещенные за∂ачu Теорuu sруnn [Kourovka Notebook. Unsolved problems in the Theory of Groups] (4th Augmented edition) Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat., Novosibirsk, 1973). MR51#10443.
А.А. Марков [A.A. Markov] (1946), "О безусловно замкнутых множкствах" [On unconditionally closed sets], Rec. Mat. [Mat. Sb.] 18 (60), No. 1, 3–28. MR7,412.
П.С. Новиков, С.И. Адян [P.S. Novikov, S.I. Adjan] (1968a), "О бесконечных периодических группах. I" [Infinite periodic groups. I], Izv. Akad. Nauk SSSR Ser. Mat. 32, 212–244; Math. USSR-Izv. 2, 209-236 (1969). MR39#1532a; Zbl.194,33; RZ [1969], 4A169.
П.С. Новиков, С.И. Адян [P.S. Novikov, S.I. Adjan] (1968b), "О бесконечных периодических группах. II" [Infinite periodic groups. II], Izv. Akad. Nauk SSSR Ser. Mat. 32, 251–524; Math. USSR-Izv. 2, 241-479 (1969). MR39#1532b; Zbl.194,33; RZ [1969], 4A170.
П.С. Новиков, С.И. Адян [P.S. Novikov, S.I. Adjan] (1968c), "О бесконечных периодических группах. III" [Infinite periodic groups. III], Izv. Akad. Nauk SSSR Ser. Mat. 32, 709–731; Math. USSR-Izv. 2, 665-685 (1969). MR39#1532c; Zbl.194,33; RZ [1969], 4A171.
А.Ю. Олвшанский [A.Ju. Ol'šanskii] (1970), "О проблеме конечного базиса тождеств в группах" [On the problem of a finite basis for the identities of groups], Izv. Akad. Nauk SSSR 34, 376–384; Math. USSR-Izv. 4, 381–389 (1971). MR44#4079; Zbl.215,105; RZ [1979], 10A155.
А.Ю. Олвшанский [A.Ju. Ol'šanskii] (1979), "Бесконечные группы с циклическими полгруппами" [Infinite groups with cyclic subgroups], Dokl. Akad. Nauk SSSR 245, 785–787; Soviet Math. Dokl. 20, 343–346.
В.Л. Ширванян [V.L. Širvanjan] (1976), "Вложение группы B(∞, n) в группу B(2, n)" [Imbedding of the group B(∞, n) in the group B(2, n)], Izv. Akad. Nauk SSSR Ser. Mat. 40, 190–208, 233; Math. USSR-Lzv. 4, 181–199 (1977). MR54#2821; Zbl.336.20027; RZ [1976], 7A262.
M.R. Vaughan-Lee (1970), "Uncountably many varieties of groups", Bull. London Math. Soc. 2, 280–286. MR43#2054; Zbl.216,84; RZ [1971], 7A234.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Adian, S.I. (1980). Classifications of periodic words and their application in group theory. In: Mennicke, J.L. (eds) Burnside Groups. Lecture Notes in Mathematics, vol 806. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091266
Download citation
DOI: https://doi.org/10.1007/BFb0091266
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10006-5
Online ISBN: 978-3-540-38120-4
eBook Packages: Springer Book Archive