Geodesic
Testing subgroups of a finite group on some embedding properties like pronormality
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 119-123 
V. I. Mysovskikh. Testing subgroups of a finite group on some embedding properties like pronormality. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 5, Tome 236 (1997), pp. 119-123. http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a13/
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     title = {Testing subgroups of a~finite group on some embedding properties like pronormality},
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     pages = {119--123},
     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_236_a13/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We describe here algorithms for testing subgroups of a finite group on the following embedding properties: pronormality, abnormality, paranormality and their weak analogies. The method is based on a decomposition of the main group on some double cosets. These algorithms are realized in computer algebra system GAP.

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