Lie rings admitting an automorphism of order 4 with few fixed points

Algebra and Logic

Volumn 35, Issue 1, 1996, Pages 21-43

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

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53349172686     PISSN: 00025232     EISSN: 15738302     Source Type: Journal    
DOI: 10.1007/BF02367192     Document Type: Article

References (11)

1. V. A. Kreknin, "The solubility of Lie algebras with regular automorphisms of finite period," Dokl. Akad. Nauk SSSR, 150, 467-469 (1963).
2. G. Higman, "Groups and rings which have automorphisms without non-trivial fixed elements," J. London Math. Soc., 32, 321-334 (1957).
3. V. A. Kreknin and A. I. Kostrikin, "Lie algebras with regular automorphisms," Dokl. Akad. Nauk SSSR, 149, 249-251 (1963).
4. E. I. Khukhro, "Groups and Lie rings admitting an almost regular automorphism of prime order," Mat. Sb., 181, No. 9, 1207-1219 (1990).
5. E. I. Khukhro, Nilpotent Groups and Their Automorphisms, De Gruyter, Berlin (1993).
6. E. I. Khukhro and N. Yu. Makarenko, "Nilpotent groups admitting an almost regular automorphism of order 4," to appear in Algebra Logika.
7. L. G. Kovacs, "Groups with regular automorphisms of order four," Math. Z., 75, 277-294 (1961).
8. E. I. Khukhro and P. Shumyatskii, "Fixed points of automorphisms of Lie rings and locally finite groups," Algebra Logika, 34, No. 6, 706-723 (1995).
9. D. J. Winter, "On groups of automorphisms of Lie algebras," J. Alg., 8, No. 2 131-142 (1968).
10. B. Huppert and N. Blackburn, Finite Groups. II, Springer, Berlin (1982).
11. B. Hartley and T. Meixner, "Finite soluble groups containing an element of prime order whose centralizer is small," Arch. Math. (Basel), 36, 211-213 (1981).