The University of Toledo > College of Arts & Sciences > Department of Mathematics > Mathematics & Statistics Faculty > Martin Pettet > Publications

   PUBLICATIONS

A note on finite groups having a fixed-point-free automorphism, Proc. Amer. Math. Soc. 52 (1975), 79-80; MR 53 #8244.

Fixed-point-free automorphism groups of square-free exponent, Proc. Lond. Math. Soc. (3) 33 (1976), 361-384; MR 55 #3080.

On a theorem of Goldschmidt applied to groups with a coprime automorphism, Can. J. Math., Vol. XXVIII, No. 1 (1976), 201-206; MR 55 #489.

A remark on groups with a coprime automorphism fixing a {2,3}'-subgroup, J. Lond. Math. Soc. (2) (1977), 88-90; MR 56 #5711.

A sufficient condition for solvability in groups admitting elementary abelian operator groups, Can. J. Math., Vol. XXIX, No. 4 (1977), 848-855; MR 56 #3125.

A note on split extensions of finite groups, Can. Math. Bull., Vol. 24 (1) (1981), 117-118; MR 83i:20021.

Nilpotent partition-inducing automorphism groups, Can. J. Math., Vol. XXXIII, No. 2 (1981), 412-420; MR 82h:20003.

On a vanishing product in the integral group ring, (with S. M. Gagola and S. C. Garrison), Amer. Math. Monthly, Vol. 88, No. 3 (1981), 195-196; MR 82i:20006.

Automorphisms and Fitting factors of finite groups, J. Algebra, Vol. 72, No. 2 (1981), 404-412; MR 83i:20019.

On semisimple rings that are centralizer near-rings, (with C. J. Maxson and K. C. Smith), Pac. J. Math., Vol. 101, No. 2 (1982), 451-461; MR 83m:16036.

Near-fields and linear transformations of finite fields, Lin. Alg. & Appl. 48 (1982), 443-456; MR 84i:12015.

A note on the automorphism tower theorem for finite groups, Proc. Amer. Math. Soc. 89 (1983), 182-183; MR 84m:20030.

A note on partition-inducing automorphism groups, Can. Math. Bull., Vol. 27 (2), (1984), 157-159; MR 84m:20030.

Partitioned groups and the additive structure of centralizer near-rings, Proc. Edin. Math. Soc. 27 (1984), 47-56; MR 85i:20029.

On the automorphism tower of a Cernikov group, J. Lond. Math. Soc. (2), 30 (1984), 62-66; MR 85m:20038.

Groups whose automorphisms are almost determined by their restriction to a subgroup, Glasgow Math. J., 28 (1986), 87-93; MR 87f:20049.

Three-term relations for Hardy sums, (with R. Sitaramachandrarao), J. Number Theory, Vol. 25, No. 3 (1987), 328-339; MR 88e:11028.

Locally finite groups as automorphism groups, Archiv der Math., 48 (1987), 1-9; MR 88h:20043.

Centralizer near-rings determined by fixed point free automorphism groups, (with P. Fuchs, C. J. Maxson, and K. C. Smith), Proc. Royal Soc. Edinburgh, 107A (1987), 327-337.

Central automorphisms of periodic groups, Archiv der Math., 51 (1988), 10-33; MR 90a:20057.

Distributively generated GC-near-rings, (with K. C. Smith), Comm. in Algebra, 17 (1989), 1505-1522; MR 90k:16040.

Almost-nilpotent periodic groups as automorphism groups, Quart. J. Math. Oxford Ser. (2) 41 (1990), No. 161, 93-108; MR 91f:20047.

On inner automorphisms of finite groups, Proc. Amer. Math. Soc. 106 (1989), 87-90; MR 90a:20042.

Characterizing inner automorphisms of groups, Archiv der Math. 55 (1990), 422-428; MR 91j:20078.

Free-by-finite cyclic automorphism groups, Rocky Mountain J. Math., Vol. 23, No. 1 (1993), 309-317.

The automorphism group of a virtual direct product of groups, Proceedings of the A.M.S. Special Session, Infinite Groups and Group Rings, Tuscaloosa 1992, World Scientific (Singapore, New Jersey, London, Hong Kong, 1993), 102-110.

Finitely generated groups with virtually free automorphism groups, Proc. Edin. Math. Soc. 38 (1995), 475-484.

Virtually free groups with finitely many outer automorphisms, Transactions of the Amer. Math Soc., 349 (1997), No. 11, 4565-4587.

The automorphism group of a graph product of groups, Comm. in Algebra, 27 (10), (1999), 4691-4708.   PDF file

Unfused involutions in finite groups, Comm. in Algebra, 33 (5), (2005), 1289-1302.   PDF file

Free actions of virtually FC-groups, Arch. Math. 86 (2006), 26-30.   PDF file

Unfused involutions in finite groups - an addendum, Comm. in Algebra 34 (8) (2006), 2965-2966.   PDF file

Maximal subrings and E-groups, (with C. J. Maxson), Arch. Math. (Basel) 88 (2007), no. 5, 392-402.   PDF file

On automorphisms of A-groups, Arch. Math. (Basel) 91 (2008) no.4, 289-299.   PDF file