
The minimal number of generators of the group Q is denoted m(s). We define d(B) = max m(s) where ‘21 ranges over all the abelian subgroups of EJ and we let J(cli) be the subgroup generated by all the abelian subgroups ‘u of (5 which satisfy d(B) = m(a). Clearly, if J(S) c R c Q, then J(B) is a characteristic subgroup of R, J(B) char Ji. Z(G) denotes the center of 8 and / 0, jr, is the order of a SD-subgroup of Q.
510.mathematics, Algebra and Number Theory, Abstract finite groups, group theory, normal \(p\)-complements, Article, finite groups
510.mathematics, Algebra and Number Theory, Abstract finite groups, group theory, normal \(p\)-complements, Article, finite groups
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