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Volumn 320, Issue 4, 2008, Pages 1723-1740

Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications

Author keywords

Automorphism; Ideal; Lie ring; Locally nilpotent torsion free group; Multilinear identity; Nilpotent; Non associative algebra; Rank

Indexed keywords


EID: 46049090770     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2008.03.004     Document Type: Article
Times cited : (7)

References (10)
  • 1
    • 25544463963 scopus 로고
    • On some questions of the theory of nilpotent and locally nilpotent torsion-free groups
    • (in Russian)
    • Glushkov V.M. On some questions of the theory of nilpotent and locally nilpotent torsion-free groups. Mat. Sb. 30 (1952) 79-104 (in Russian)
    • (1952) Mat. Sb. , vol.30 , pp. 79-104
    • Glushkov, V.M.1
  • 2
    • 44649130103 scopus 로고    scopus 로고
    • Groups with an automorphism of prime order that is almost regular in the sense of rank
    • Khukhro E.I. Groups with an automorphism of prime order that is almost regular in the sense of rank. J. London Math. Soc. 77 (2008) 130-148
    • (2008) J. London Math. Soc. , vol.77 , pp. 130-148
    • Khukhro, E.I.1
  • 3
    • 44649100308 scopus 로고    scopus 로고
    • Large characteristic subgroups satisfying multilinear commutator identities
    • Khukhro E.I., and Makarenko N.Yu. Large characteristic subgroups satisfying multilinear commutator identities. J. London Math. Soc. 75 (2007) 635-646
    • (2007) J. London Math. Soc. , vol.75 , pp. 635-646
    • Khukhro, E.I.1    Makarenko, N.Yu.2
  • 4
    • 34548382574 scopus 로고    scopus 로고
    • Characteristic nilpotent subgroups of bounded co-rank and automorphically-invariant nilpotent ideals of bounded codimension in Lie algebras
    • Khukhro E.I., and Makarenko N.Yu. Characteristic nilpotent subgroups of bounded co-rank and automorphically-invariant nilpotent ideals of bounded codimension in Lie algebras. Q. J. Math. 58 (2007) 229-247
    • (2007) Q. J. Math. , vol.58 , pp. 229-247
    • Khukhro, E.I.1    Makarenko, N.Yu.2
  • 5
    • 3142706503 scopus 로고    scopus 로고
    • Almost solubility of Lie algebras with almost regular automorphisms
    • Makarenko N.Yu., and Khukhro E.I. Almost solubility of Lie algebras with almost regular automorphisms. J. Algebra 277 (2004) 370-407
    • (2004) J. Algebra , vol.277 , pp. 370-407
    • Makarenko, N.Yu.1    Khukhro, E.I.2
  • 6
    • 33750739790 scopus 로고    scopus 로고
    • Finite groups with an almost regular automorphism of order four
    • English transl.:
    • Makarenko N.Yu., and Khukhro E.I. Finite groups with an almost regular automorphism of order four. Algebra Logika 45 (2006) 575-602 English transl.:
    • (2006) Algebra Logika , vol.45 , pp. 575-602
    • Makarenko, N.Yu.1    Khukhro, E.I.2
  • 7
    • 33750739790 scopus 로고    scopus 로고
    • Finite groups with an almost regular automorphism of order four
    • Makarenko N.Yu., and Khukhro E.I. Finite groups with an almost regular automorphism of order four. Algebra Logic 45 (2006) 326-343
    • (2006) Algebra Logic , vol.45 , pp. 326-343
    • Makarenko, N.Yu.1    Khukhro, E.I.2
  • 8
    • 0007388944 scopus 로고
    • Nilpotent torsion-free groups
    • (in Russian)
    • Mal'cev A.I. Nilpotent torsion-free groups. Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949) 201-212 (in Russian)
    • (1949) Izv. Akad. Nauk SSSR Ser. Mat. , vol.13 , pp. 201-212
    • Mal'cev, A.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.