# 相对M-特征标的替换引理The Replacement Lemma on Relative M-Characters

Abstract:
The main goal of the present paper is to generalize the replacement lemma on M-characters to the relative M-characters. It is proved that if are normal subgroups of a finite group G such that K/L is commutative of odd order, then every relative M-character of G with respect to L is also a relative M-character with respect to K. In particular, if G is an M-group with a meta-commutative normal subgroup K of odd order, then G is a relative M-group with respect to K.

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