A characterization of finite -soluble -groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 203-212.
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Let be a non-empty class of groups, a finite group and be the lattice of all subgroups of . A chief factor of is -central in if . Let be the set of subgroups of such that every chief factor of between and is -central in ; let be the set of subgroups of such that . In this paper, we study the influence of and on the structure of , where is a normally hereditary saturated formation containing all -nilpotent groups and is -soluble. Moreover, we give a new characterization of a finite -soluble group to be a -group.
@article{RSMUP_2022__148__203_0, author = {Cao, Chenchen and Wong, Dein and Zhang, Chi}, title = {A characterization of finite $\sigma$-soluble $P\sigma T$-groups}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {203--212}, volume = {148}, year = {2022}, doi = {10.4171/rsmup/108}, mrnumber = {4542378}, zbl = {1511.20064}, language = {en}, url = {http://archive.numdam.org/articles/10.4171/rsmup/108/} }
TY - JOUR AU - Cao, Chenchen AU - Wong, Dein AU - Zhang, Chi TI - A characterization of finite $\sigma$-soluble $P\sigma T$-groups JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2022 SP - 203 EP - 212 VL - 148 UR - http://archive.numdam.org/articles/10.4171/rsmup/108/ DO - 10.4171/rsmup/108 LA - en ID - RSMUP_2022__148__203_0 ER -
%0 Journal Article %A Cao, Chenchen %A Wong, Dein %A Zhang, Chi %T A characterization of finite $\sigma$-soluble $P\sigma T$-groups %J Rendiconti del Seminario Matematico della Università di Padova %D 2022 %P 203-212 %V 148 %U http://archive.numdam.org/articles/10.4171/rsmup/108/ %R 10.4171/rsmup/108 %G en %F RSMUP_2022__148__203_0
Cao, Chenchen; Wong, Dein; Zhang, Chi. A characterization of finite $\sigma$-soluble $P\sigma T$-groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 203-212. doi : 10.4171/rsmup/108. http://archive.numdam.org/articles/10.4171/rsmup/108/
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