Some sporadic groups as Galois groups. II
[For part I, cf. Rend. Semin. Mat. Univ. Padova 79, 97-107 (1988; Zbl 0663.12013)]. It is proved that the sporadic simple groups \(J_ 3\), McL, Ru and Ly as well as their automorphism groups are Galois groups over \({\mathbb{Q}}(T)\). The author shows that these groups have a GAR-realization over \({\mathbb{Q}}(T)\), using \textit{B. H. Matzat}'s criterion [Invent. Math. 80, 365-374 (1985; Zbl 0567.12015)]. Summarizing previous results of Hoyden- Siedersleben, Hunt, Matzat and the author it is obtained that all sporadic simple groups, except the Mathieu group \(M_{23}\), are Galois groups of regular extensions of \({\mathbb{Q}}(T)\).
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