Some Properties of Autosoluble Groups
Abstract
In this paper we introduce a new concept of autosoluble
groups, which is in a way a generalized version of the notion of soluble
groups. Using the autocommutators, a new series will be constructed,
which is some how a generalization of the derived series of a given group
G. We then determine the structure of such groups, when the generalized
series are terminated.
groups, which is in a way a generalized version of the notion of soluble
groups. Using the autocommutators, a new series will be constructed,
which is some how a generalization of the derived series of a given group
G. We then determine the structure of such groups, when the generalized
series are terminated.
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