Geodesic
PROPERTIES OF SUBGROUPS OF SOLVABLE GROUPS THAT IMPLY THEY ARE NORMALLY EMBEDDED
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 45-52

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DOI

Recently, Ballester-Bolinches [1 and 2], Pedraza-Aguilera [2] and Perez-Ramos [2] have studied circumstances under which certain injectors and projectors, which are always pronormal, must be normally embedded. In this note we give a scheme for describing a minimal counterexample to a conjecture of the form: a subnormally embedded subgroup with properties $\alpha_1$, $\alpha_2,{\ldots\,},\alpha_{n}$ is normally embedded, where $\alpha_1$, $\alpha_2,{\ldots\,},\alpha_{n}$ satisfy certain conditions. We then show contradictions in certain cases involving finite solvable groups.
DOI : 10.1017/S0017089502008972
Mots-clés : 20D10 
FELDMAN, ARNOLD. PROPERTIES OF SUBGROUPS OF SOLVABLE GROUPS THAT IMPLY THEY ARE NORMALLY EMBEDDED. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 45-52. doi: 10.1017/S0017089502008972
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     title = {PROPERTIES {OF} {SUBGROUPS} {OF} {SOLVABLE} {GROUPS} {THAT} {IMPLY} {THEY} {ARE} {NORMALLY} {EMBEDDED}},
     journal = {Glasgow mathematical journal},
     pages = {45--52},
     year = {2003},
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     doi = {10.1017/S0017089502008972},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089502008972/}
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