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On the normalizer of a subgroup of a finite group and the cayley embedding

โœ Scribed by Prabir Bhattacharya; N.P. Mukherjee

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
483 KB
Volume
33
Category
Article
ISSN
0022-4049

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๐Ÿ“œ SIMILAR VOLUMES

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Let p be a prime number and G be a p-group. A. Lubotzky and A. Mann J. . Algebra 105, 1987, 484แŽ505 have introduced the notion of a powerfully embedded subgroup of G. Our main result gives a characterisation of those powerfully embedded subgroups which are contained in the Frattini subgroup of G, wh

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We show that if โŒซ is a finitely presented normal subgroup of a product G = G 1 2 of Fuchsian groups which projects nontrivially to each factor, then โŒซ has finite index in G = G . The proof uses the author's previous reduction of the descrip-1 2 tion of normal subdirect products to the abelian case