Automorphism invariance and identities

Bulletin of the London Mathematical Society

Volumn 41, Issue 5, 2009, Pages 804-816

  Khukhro, E I ^a   Klyachko, A A ^b   Makarenko, N Yu ^a,c   Melnikova, Yu B ^b  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c UNIVERSITÉ DE HAUTE ALSACE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70449437103     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/blms/bdp056     Document Type: Article

References (12)

1. S. I. Adyan, The Burnside problem and identities in groups (Nauka, Moscow, 1975) (Russian), (Springer, Berlin, 1979) (English).
2. V. V. Belyaev and M. Kuzucuoglu, 'Locally finite barely transitive group', Algebra Logika 42 (2003) 261-270 (Russian).
3. J. O. Button, Largeness of LERF and 1-relator groups, Preprint, 2008, arXiv:0803.3805.
4. M. I. Kargapolov and Yu. I. Merzlyakov, Fundamentals of the theory of groups (Nauka, Moscow, 1982) (Russian)
5. English translation of 2nd edn (Springer, New York, 1979) (English).
6. E. I. Khukhro and N. Yu. Makarenko, 'Large characteristic subgroups satisfying multilinear commutator identities', J. London Math. Soc. 75 (2007) 635-646.
7. E. I. Khukhro and N. Yu. Makarenko, 'Characteristic nilpotent subgroups of bounded co-rank and automorphically-invariant ideals of bounded codimension in Lie algebras', Q. J. Math. 58 (2007) 229-247.
8. E. I. Khukhro and N. Yu. Makarenko, 'Automorphically-invariant ideals satisfying multilinear identities, and group-theoretic applications', J. Algebra 320 (2008) 1723-1740.
9. Ant. A. Klyachko and Yu. B. Melnikova, 'A short proof of the Khukhro-Makarenko theorem on large characteristic subgroups with laws', Mat. Sb. 200 (2009) 33-36 (Russian)
10. Sb. Math. 200, no.5 (2009) 661-664 (English), arXiv:0805.2747.
11. A. G. Kurosh, Lectures in general algebra (Fizmatgiz, Moscow, 1962) (Russian), (Pergamon Press, Oxford, 1965) (English).
12. A. Yu. Olshanski, Geometry of defining relations in groups (Nauka, Moscow, 1989) (Russian), (Kluwer, Dordrecht, 1991) (English).