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 of a finite group is called g\nbdash independent if there is no proper subset of such that The group has the embedding property if every g\nbdash independent subset of can be embedded in a minimal generating set of .If is a set of prime power order elements, then we say that 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
DOI : 10.4171/RSMUP/16
Classification :
20, 00
Mots-clés : Finite group, generating set, independent set, soluble group
Mots-clés : Finite group, generating set, independent set, soluble group
Affiliations des auteurs :
Stocka, Agnieszka 1
@article{RSMUP_2019__141__107_0, author = {Stocka, Agnieszka}, title = {Finite groups with the pp-embedding property}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {107--119}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {141}, year = {2019}, doi = {10.4171/RSMUP/16}, mrnumber = {3962822}, zbl = {1472.20031}, url = {http://www.numdam.org/articles/10.4171/RSMUP/16/} }
TY - JOUR AU - Stocka, Agnieszka TI - Finite groups with the pp-embedding property JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 107 EP - 119 VL - 141 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/16/ DO - 10.4171/RSMUP/16 ID - RSMUP_2019__141__107_0 ER -
%0 Journal Article %A Stocka, Agnieszka %T Finite groups with the pp-embedding property %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 107-119 %V 141 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/16/ %R 10.4171/RSMUP/16 %F RSMUP_2019__141__107_0
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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