- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 53 Issue: 02
- On groups whose every proper subgroup is a Bn -group
On groups whose every proper subgroup is a Bn -group
Authors : S Ercan
Pages : 1-5
Doi:10.1501/Commua1_0000000334
View : 6 | Download : 4
Publication Date : 2004-01-01
Article Type : Research
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