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Complements, baseless subgroups and Sylow subgroups of infinite wreath products. (English) Zbl 0253.20057


MSC:

20E22 Extensions, wreath products, and other compositions of groups
20F50 Periodic groups; locally finite groups

References:

[1] P. Hall [1] Some constructions for locally finite groups . J. London Math. Soc. 34 (1959) 305-319. · Zbl 0088.02301 · doi:10.1112/jlms/s1-34.3.305
[2] H. Heineken [2] Maximale p-unterguppen lokal endlicher Gruppen Archiv der Math ., to appear. · Zbl 0246.20021 · doi:10.1007/BF01304895
[3] O.H. Kegel [3] Locally finite groups . (Mathematical Institute, Oxford). · Zbl 0184.04403
[4] L.G. Kovács , B.H. Neumann and H. De Vries [4] Some Sylow subgroups . Proc. Roy. Soc. Ser. A. 260 (1961) 304-16. · Zbl 0102.26205 · doi:10.1098/rspa.1961.0035
[5] P.M. Neumann [5] On the structure of standard wreath products of groups . Math. Zeitschrift 84 (1964) 343-73. · Zbl 0122.02901 · doi:10.1007/BF01109904
[6] B.I. Plotkin [6] Radical groups . Mat. Sbornik (N.S.) 37 (79) (1955) 507-526; Amer. Math. Soc. Transl. (2) 17 (1961) 9-29. · Zbl 0128.25402 · doi:10.1090/trans2/017/02
[7] B.A.F. Wehrfritz [7] Sylow subgroups of locally finite groups with Min-p . J. London Math. Soc.(2) 1 (1969) 421-7. · Zbl 0184.04501 · doi:10.1112/jlms/s2-1.1.421
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