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The automorphisms of the holomorph of a finite abelian group. (English) Zbl 0079.03302

Group Theory
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##### References:
 [1] Anne P. Cobbe, On the cohomology groups of a finite group, Quart. J. Math., Oxford Ser. (2) 6 (1955), 34 – 47. · Zbl 0064.02702 · doi:10.1093/qmath/6.1.34 · doi.org [2] Walther Dyck, Gruppentheoretische Studien, Math. Ann. 20 (1882), no. 1, 1 – 44 (German). · JFM 14.0097.01 · doi:10.1007/BF01443322 · doi.org [3] Yu. A. Gol$$^{\prime}$$fand, On the group of autormorphisms of the holomorph of a group, Mat. Sbornik N.S. 27(69) (1950), 333 – 350 (Russian). [4] G. A. Miller, On the multiple holomorphs of a group, Math. Ann. 66 (1908), no. 1, 133 – 142. · JFM 39.0200.02 · doi:10.1007/BF01450918 · doi.org [5] G. A. Miller, Abstract Definitions of all the Substitution Groups Whose Degrees do not Exceed Seven, Amer. J. Math. 33 (1911), no. 1-4, 363 – 372. · JFM 42.0163.03 · doi:10.2307/2369998 · doi.org [6] W. H. Mills, Multiple holomorphs of finitely generated abelian groups, Trans. Amer. Math. Soc. 71 (1951), 379 – 392. · Zbl 0043.25703 [7] W. H. Mills, On the non-isomorphism of certain holomorphs, Trans. Amer. Math. Soc. 74 (1953), 428 – 443. · Zbl 0050.02103
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