Geodesic
Factorized Groups with max, min and min-p
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 171-178

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Let be a class of groups which is closed under the forming of subgroups, epimorphic images and extensions. It is shown that every soluble product G = AB of two -subgroups A and B, one of which satisfies max or min, is an -group (Theorem A). If X satisfies an additional requirement, then every soluble product G = AB of two -subgroups A and B, one of which is a torsion group with min-p for every prime p, is an -group (Theorem B). Corollary: Every soluble product G = AB of two π-subgroups A and B with min-p for every prime p in the set of primes π, is a π -group with min-p for every p.
DOI : 10.4153/CMB-1984-026-4
Mots-clés : 20 E 22 (also 20 F 16) 
Amberg, Bernhard. Factorized Groups with max, min and min-p. Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 171-178. doi: 10.4153/CMB-1984-026-4
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     title = {Factorized {Groups} with max, min and min-p},
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     year = {1984},
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     doi = {10.4153/CMB-1984-026-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-026-4/}
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