Geodesic
Cover-Avoidance Properties in Finite Soluble Groups
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 213-216

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DOI

We give a general method for constructing subgroups which either cover or avoid each chief factor of the finite soluble group G. A strongly pronorrnal subgroup V, a prefrattini subgroup W, an -normalizer D and intersections and products of V, W, and D axe all constructable. The constructable subgroups can be characterized by their cover-avoidance property and a permutability condition as in the results of J. D. Gillam [4] for prefrattini subgroups and -normalizers.
DOI : 10.4153/CMB-1976-033-5
Mots-clés : 20D10 
Tomkinson, M. J. Cover-Avoidance Properties in Finite Soluble Groups. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 213-216. doi: 10.4153/CMB-1976-033-5
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     title = {Cover-Avoidance {Properties} in {Finite} {Soluble} {Groups}},
     journal = {Canadian mathematical bulletin},
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     year = {1976},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-033-5/}
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