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A Characterisation of Powerfully Embedded Normal Subgroups of ap-Group

โœ Scribed by Bruno Kahn

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
124 KB
Volume
188
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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, when p is ลฝ odd. When p s 2, the subgroups characterised have a weaker property than . powerful embedding. This result also yields information on the structure of ''d-maximal'' 2-groups.

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