Document Zbl 0451.20025

Groups of Gaschütz type and groups close to them. (English) Zbl 0451.20025

Math. Notes 27, 405-414 (1980).

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MSC:

20E15	Chains and lattices of subgroups, subnormal subgroups
20E25	Local properties of groups
20F50	Periodic groups; locally finite groups
20E07	Subgroup theorems; subgroup growth
06A15	Galois correspondences, closure operators (in relation to ordered sets)

Keywords:

C*-groups; locally-finite Gaschütz-type groups

Citations:

Zbl 0441.20020; Zbl 0057.02002

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Full Text: DOI

References:

[1]	W. Gaschütz, ?Gruppen deren samtlichen Untergruppen Zentralisatoren sind,? Arch. Math.,6, 5-8 (1954). · Zbl 0057.02002 · doi:10.1007/BF01899203
[2]	M. Suzuki, Structure of a Group and the Structure of Its Lattice of Subgroups, Springer-Verlag, Berlin-Göttingen-Heidelberg (1956). · Zbl 0070.25406
[3]	D. Gorenstein, Finite Groups, Harper and Row, New York (1968).
[4]	G. Zacher, ?Determination of locally finite groups with duals,? J. Algebra,18, No. 3, 426-431 (1971). · Zbl 0232.20070 · doi:10.1016/0021-8693(71)90072-X
[5]	N. Blackburn, ?Generalisation of certain elementary theorems on p-groups,? Proc. London Math. Soc.,3, No. 11, 1-22 (1961). · Zbl 0102.01903 · doi:10.1112/plms/s3-11.1.1
[6]	M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).
[7]	N. F. Sesekin and A. I. Starostin, ?On a class of periodic groups,? Usp. Mat. Nauk,9, No. 4, 225-228 (1954).
[8]	M. Reuther, ?Endliche Gruppen, in deren alle das Zentrum enthaltenden Untergruppen Zentralisatoren sind,? Arch. Math.,29, No. 1, 45-54 (1977). · Zbl 0373.20025 · doi:10.1007/BF01220374

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