Groups

P. M. Cohn
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P. M. Cohn: University College London, Department of Mathematics

Chapter 2 in Basic Algebra, 2003, pp 25-50 from Springer

Abstract: Abstract Our readers will have met groups before, so we shall be fairly brief in recalling the fundamentals, which occupy Sections 2.1-2.3. The remainder of this chapter deals with some notions of importance in elucidating the structure of groups, such as solubility, nilpotence (Section 2.4) and commutator subgroups (Section 2.5). In Section 2.6 we describe the constructions of Frattini and Fitting, which have their counterpart in rings in the form of the radical.

Date: 2003
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DOI: 10.1007/978-0-85729-428-9_2

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