A θ-pair for a maximal subgroup M of a group G is a pair (A, B) of subgroups such that B is a maximal G-invariant subgroup of A with B but not A contained in M. θ-pairs are considered here in some groups having supersoluble maximal subgroups.
@article{urn:eudml:doc:41516, title = {A note on supersoluble maximal subgroup and theta-pairs.}, journal = {Publicacions Matem\`atiques}, volume = {37}, year = {1993}, pages = {91-94}, mrnumber = {MR1240925}, zbl = {0803.20021}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41516} }
Beidleman, James C.; Smith, Howard. A note on supersoluble maximal subgroup and theta-pairs.. Publicacions Matemàtiques, Tome 37 (1993) pp. 91-94. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41516/