中文摘要：

给出了两个幂等矩阵之差的可逆性与群逆的充要条件，研究了三个不同的且两两可换的非零的对合矩阵A，B，C的组合T=al＋6A＋c8＋dC＋融曰＋fBc＋gAc＋hABC的可逆性和群遗

英文摘要：

In this paper,the necessary and sufficient condition of the invertible and group inverse for the difference of the two idempotent matrices is given, and we study the invertible and group inverse of the combination T = al ＋ bA ＋ cB ＋ dC ＋eAB ＋ fBC ＋ gAC ＋ hABC of three different and pairwise interchangeable nonzero involution matrices with A ,B ,C.