On locally finite groups and the centralizers of automorphisms

 Access to full text

 Full (PDF)

 Full (DjVu)

1. CHAO, CHONG-YUN, Some characterizations of nilpotent Lie algebras, Math. Z., 103 (1968), 40-42. Zbl0178.03603MR223415
2. GORENSTEIN, D., Finite groups, New York, Evanston, London: Harper and Row, 1968. Zbl0185.05701MR231903
3. HALL, H., Some sufficient conditions for a group to be nilpotent, Illinois J. Math., 2 (1958), 595-622. Zbl0084.25602MR105441
4. KEGEL, O. H.- WEHRFRITZ, B. A. F., Locally finite groups, North Holland, Amsterdam, 1973. Zbl0259.20001MR470081
5. KHUKHRO, E. I.- SHUMYATSKY, P., On fixed points of automorphisms of Lie rings and locally finite groups, Algebra and Logic, 34 (1995), 395-405. Zbl0901.20026MR1400710
6. KREKNIN, V. A., Solvability of Lie algebras with a regular automorphism of finite period, Soviet Math. Dokl., 4 (1963), 683-685. Zbl0134.03604MR157990
7. SHUMYATSKY, P., On periodic soluble groups and the fixed point groups of operators, Comm. Algebra, 20(10) (1992), 2815-2820. Zbl0795.20015MR1179263
8. SHUMYATSKY, P., On periodic solvable groups having automorphisms with nilpotent fixed point groups, Israel Math. J., 87 (1994), 111-116. Zbl0815.20020MR1286819
9. WARD, J. N., Automorphisms of finite groups and their fixed-point subgroups, J. Austral. Math. Soc., 9 (1969), 467-477. Zbl0182.03901MR242940
10. WARD, J. N., On finite groups admitting automorphisms with nilpotent fixed-point group, Bull. Austral. Math. Soc., 5 (1971), 281-282. Zbl0221.20030MR296163
11. WARD, J. N., On groups admitting a noncyclic abelian automorphism group, Bull. Austral. Math. Soc., 9 (1973), 363-366. Zbl0273.20017MR376852