A subgroup H of a group G is said to be weakly M-supplemented in G if there exists a subgroup B of G provided that (1) G=HB, and (2) if H_1/H_G is a maximal subgroup of H/H_G, then H_1B=BH_1
MIAO, LONG and LEMPKEN, WOLFGANG
"On weakly M-supplemented primary subgroups of finite groups,"
Turkish Journal of Mathematics: Vol. 34:
4, Article 6.
Available at: https://journals.tubitak.gov.tr/math/vol34/iss4/6