Finite groups with the pp-embedding property
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 107-119.
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A subset X of a finite group G is called g\nbdash independent if there is no proper subset Y of X such that Y,Φ(G)=X,Φ(G). The group G has the embedding property if every g\nbdash independent subset of G can be embedded in a minimal generating set of G.If X is a set of prime power order elements, then we say that G has the pp-embedding property. In this note we classify all finite solvable groups with the pp-embedding property. Moreover we prove that this class is equal to the class of finite solvable groups with the embedding property.

Publié le :
DOI : 10.4171/RSMUP/16
Classification : 20, 00
Mots clés : Finite group, generating set, independent set, soluble group
Stocka, Agnieszka 1

1 University of Białystok, Poland
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     title = {Finite groups with the pp-embedding property},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {107--119},
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Stocka, Agnieszka. Finite groups with the pp-embedding property. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 107-119. doi : 10.4171/RSMUP/16. http://www.numdam.org/articles/10.4171/RSMUP/16/

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