Some Remarks on Commuting Fixed Point Free Automorphisms of Groups

1. Bell H. E., Martindale W. S., "Centralizing mappings of semiprime rings", Canad, Math. Bull. 30 (1987) 92-101.

2. Burnside W., "Theory of Groups of Finite Order", 2nd ed., Dover Publications Inc., New York (1955).

3. Deaconescu M., Silberberg G., Walls G. L., "On commuting automorphisms of groups", Arch. Math. (Basel) 79 (2002) 423-429.

4. Deaconescu M., Silberberg Gh., "Right 2-Engel elements and commuting automorphism of group", J. Algebra 238 (2001) 479-484.

5. Divinsky N., "On commuting automorphisms of rings", Trans. Roy. Soc. Canada, Sect. III. 49 (1955) 19-22.

6. Gorenstein D., Herstein I., "Finite groups admitting a fixed point free automorphism of order 4", Amer. J. Math. 83 (1961) 71-78.

7. Gross F., "Some remarks on groups admitting a fixed point free automorphism",

Canad. J. Math. 20 (1968) 1300-1307.

8. Herstein I. N., Laffey T. J., Thomas J., "Problems and solutions: solutions of elementary problems: E3039", Amer. Math. Monthly 93 (1986) 816-817.

9. Kargarian Z., Akhavan-Malayeri M., "On the commuting automorphisms of groups of order p^3," AAMS. (9) No. 2 (2011) 115-120.

10. Luh J., "A note on commuting automorphisms of rings", Amer. Math. Monthly 77 (1970) 61-62.

11. Robinson D. J. S., "A course in the Theory of Groups", Vol. (80) of Graduate Texts in Math. Springer-Verlag (2nd ed. 1996).

12. Thompson J., "Finite groups with fixed point free automorphisms of prime order", Proc. Nat. Acad. Sci. U.S.A. 45 (1959) 578-581.

13. Vosooghpour F., Akhavan-MalayerI M., "On commuting automorphisms of p-groups", Comm. Algebra, Vol. 41 (4) (2013) 1292-1299.