Characteristic nilpotent subgroups of bounded co-rank and automorphically invariant nilpotent ideals of bounded codimension in lie algebras

Quarterly Journal of Mathematics

Volumn 58, Issue 2, 2007, Pages 229-247

  Khukhro, E I ^a   Makarenko, N Yu ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548382574     PISSN: 00335606     EISSN: 14643847     Source Type: Journal    
DOI: 10.1093/qmath/ham012     Document Type: Article

References (7)

1. V. M. Glushkov, On some questions of the theory of nilpotent and locally nilpotent torsion-free groups, Mat. Sb. 30 (1952), 79-104 (Russian).
2. E. I. Khukhro, Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order, Sibirsk. Mat. Zh. 41 (2000), 451-469
3. (Engl. transl., Siberian Math. J. 41 (2000), 373-388).
4. E. I. Khukhro and V. D. Mazurov, Finite groups with an automorphism of prime order whose centralizer has small rank, J. Algebra 301 (2006), 474-492.
5. E. I. Khukhro and N. Yu. Makarenko, Large characteristic subgroups satisfying multilinear commutator identities, J. London Math. Soc., to appear.
6. E. I. Khukhro and N. Yu. Makarenko, Automorphically invariant ideals of bounded codimension satisfying multilinear identities, Preprint, Inst. Math., Novosibirsk, 2007.
7. A. I. Mal'cev, Nilpotent torsion-free groups, Izv. Akad. Nauk. SSSR, Ser. Mat. 13 (1949), 201-212 (Russian).