$p$-groups, diagonalizable automorphisms and loops

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1. [1] Bruck, R.H.: A survey of binary systems, Springer, Berlin, 1958. Zbl0141.01401MR93552
2. [2] Glauberman, G.: On loops of odd order, J. Algebra, 1, 374-396 (1964). Zbl0123.01502MR175991
3. [3] Glauberman, G.: On loops of odd order II, J. Algebra, 8, 393-414 (1968). Zbl0155.03901MR222198
4. [4] Gorenstein, D., Herstein, I.N.: Finite groups admitting a fixed-point-free automorphism of order 4, Amer. Jour. Math., 83, 71-78 (1961). Zbl0108.25504MR122868
5. [5] Gupta, C.K.: A bound for the class of certain nilpotent groups, J. Austr. M.S., 5, 506-511 (1965). Zbl0178.35002MR193146
6. [6] Gupta, C.K., Gupta, N.D., Newman, M.F.: Some finite nilpotent p-groups, J. Austr. M.S., 9, 287-288 (1969). Zbl0214.04302MR241537
7. [7] Hall, M.: The theory of groups, Mc Millan Co., New York, 1959. Zbl0084.02202MR103215
8. [8] Lazard, M.: Sur les groupes nilpotents et les anneaux de Lie, Ann. E.N.S., 71, 101-190 (1954). Zbl0055.25103MR88496
9. [9] Wielandt, H.: Beziehungen zwischen den Fixpunktzahlen von Automorphismengruppe einer endlichen Gruppe, Math. Zeit., 73, 146-158 (1960). Zbl0093.02302MR117286

1. Benedetto Scimemi, Homogeneous verbal functions on groups