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Almost all $p$-groups have automorphism group a $p$-group

Author(s): Ursula Martin
Journal: Bull. Amer. Math. Soc. 15 (1986), 78-82.
MSC (1985): Primary 20E36, 20D15; Secondary 05A20, 20G40
MathSciNet review: 838793
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References:

[BK] R. Bryant and L. Kovacs, Lie representations and groups of prime power order, J. London Math. Soc. 17 (1978), 415-421. MR 506776

[Gr] J. A. Green, The characters of the finite general linear groups, Trans. Amer. Math. Soc. 80 (1955), 402-477. MR 72878

[Ha] P. Hall, The algebra of partitions, Proc. Fourth Canadian Math. Congress (Banff, 1957), 147-149.

[Hi] G. Higman, Enumerating p-groups. I, Inequalities, Proc. London Math. Soc. (3) 10 (1960), 24-30. MR 113948

[Mac] I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, Oxford, 1979. MR 553598

[We] U. H. M. Webb, The occurrence of groups as automorphisms of nilpotent p-groups, Arch. Math. (Basel) 37 (1981), 481-498. MR 646507

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Additional Information:

DOI: 10.1090/S0273-0979-1986-15441-8
PII: S 0273-0979(1986)15441-8

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