A normal subgroup of a finite group is said to be hypercyclically embedded in if every chief factor of below is cyclic. Our main goal here is to give new characterizations of hypercyclically embedded subgroups. In particular, we prove that a normal subgroup of a finite group is hypercyclically embedded in if and only if for every different primes and and every -element , -element and -element we have . Some known results are generalized. \end{abstract}
Classification :
20
Mots-clés : Finite group, supersoluble group, hypercyclically embedded subgroup, Sylow subgroup, generalized Fitting subgroup
Mots-clés : Finite group, supersoluble group, hypercyclically embedded subgroup, Sylow subgroup, generalized Fitting subgroup
Affiliations des auteurs :
Yi, Xiaolan 1
@article{RSMUP_2016__135__195_0, author = {Yi, Xiaolan}, title = {Characterizations of hypercyclically embedded subgroups of finite groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {195--206}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {135}, year = {2016}, doi = {10.4171/RSMUP/135-11}, url = {http://www.numdam.org/articles/10.4171/RSMUP/135-11/} }
TY - JOUR AU - Yi, Xiaolan TI - Characterizations of hypercyclically embedded subgroups of finite groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 195 EP - 206 VL - 135 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/135-11/ DO - 10.4171/RSMUP/135-11 ID - RSMUP_2016__135__195_0 ER -
%0 Journal Article %A Yi, Xiaolan %T Characterizations of hypercyclically embedded subgroups of finite groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 195-206 %V 135 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/135-11/ %R 10.4171/RSMUP/135-11 %F RSMUP_2016__135__195_0
Yi, Xiaolan. Characterizations of hypercyclically embedded subgroups of finite groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 195-206. doi : 10.4171/RSMUP/135-11. http://www.numdam.org/articles/10.4171/RSMUP/135-11/
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