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On the number of subgroups in finite solvable groups
Published online by Cambridge University Press: 09 April 2009
Abstract
The main result of this paper is an upper bound for the number of maximal subgroups in finite solvable groups. Our result improves an earlier one of Cook, Wiegold and Williamson [1]. At the end, we use our bound to deduce an estimation for the total number of subgroups in finite solvable groups.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 58 , Issue 1 , February 1995 , pp. 134 - 141
- Copyright
- Copyright © Australian Mathematical Society 1995
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