On some analogues of theorems of Schur and Baer
DOI:
https://doi.org/10.15407/dopovidi2014.10.021Keywords:
group of automorphisms, theorems of Schur and BaerAbstract
We obtained new generalizations of theorems of Schur and Baer. In particular, we proved automorphic analogues of these theorems in the case, when a group of inner automorphisms has finite index in an arbitrary subgroup of the group of automorphisms.
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Schur I. J. Reine Angew. Math., 1904, 127: 20–50.
Wiegold J. London Math. Soc. Lect. Notes Ser., 1982, 71: 137–154.
Baer R. Math. Ann., 1952, 124: 161–177. https://doi.org/10.1007/BF01343558
Hall Ph. Proc. Cambridge Phil. Soc., 1956, 52: 611–616. https://doi.org/10.1017/S0305004100031662
Hegarty P. Proc. J. Algebra., 1994, 169: 929–935. https://doi.org/10.1006/jabr.1994.1318
Hallett J. T., Hirsch K. A. J. Algebra, 1965, 2: 287–298. https://doi.org/10.1016/0021-8693(65)90010-4
Hallett J. T., Hirsch K. A., Zassenhaus H. J. London Math. Soc., 1966, 41: 545–549.
Hallett J. T., Hirsch K. A. J. Reine Angew. Math., 1970, 239/240: 32–46.
Hallett J. T., Hirsch K. A. Math. Z., 1970, 117: 183–188. https://doi.org/10.1007/BF01109841
Hallett J. T., Hirsch K. A. Math. Z., 1973, 131: 1–10. https://doi.org/10.1007/BF01213822
Hallett J. T., Hirsch K. A. Math. Z., 1977, 155: 43–53. https://doi.org/10.1007/BF01322606
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