On groups whose every proper subgroup is a Bn -group

Authors : S ERCAN

Pages : 1-5

Doi:10.1501/Commua1_0000000334

View : 122 | Download : 16

Publication Date : 2004-01-01

Article Type : Research Paper

Abstract :Let G be a group in which every proper subgroup is a B n -group. Also, [ G , X ] has finite exponent, foran x e G . B n -group denotes the class of ali group in which no subnormal subgroups has defect exceeding n , where n is a natural nutnber. It is proved that the groups are soluble and Fitting groups.
Keywords : On groups whose, Every proper subgroup, Bn group

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