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The Existence and Uniqueness of Injectors for Fitting Sets of Solvable Groups

Author(s): Ian Hawthorn
Journal: Proc. Amer. Math. Soc. 126 (1998), 2229-2230.
MSC (1991): Primary 20D10
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Abstract: A short alternative proof is given of the existence and uniqueness of injectors in a Fitting set which avoids use of the Carter subgroup, a concept from the dual theory of projectors.

References:

1.: T.R. Berger, unpublished draft manuscript.
2.: Klaus Doerk and Trevor Hawkes, Finite Soluble Groups, De Gruyter expositions in mathematics 4, 1992. MR 93k:20033
3.: B. Fischer, W. Gaschütz and B. Hartley, Injektoren endlicher auflösbarer Gruppen, Math. Z. 102 (1967), 337-339. MR 36:6504
4.: David M. Goldschmidt, Strongly closed $2$ -subgroups of finite groups, Ann. of Math. (2) 102 (1975), no. 3, 475-489. MR 52:14033
5.: Daniel Gorenstein, Finite Groups, Second edition, Chelsea, New York, 1980. MR 81b:20002


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