Groups

Alexander V. Mikhalev, Charles R. Leedham-Green, Hans Lausch, Peter J. Cameron, Joachim Hilgert, Peter J. Olver, Ronald Solomon, Gilbert Baumslag, Gilbert Baumslag, Derek Holt, Rostislav I. Grigorchuk, Igor G. Lysenok, Peter Paule, John D. P. Meldrum, Boris I. Plotkin, Peter Fleischmann, Carlton J. Maxson, Frank Vogt, Awad A. Iskander, Helmut Karzel and Kalmbach H. E. Gudrun

Chapter Chapter B in The Concise Handbook of Algebra, 2002, pp 71-151 from Springer

Abstract: Abstract We say that a group G is abelian if the group operation (usually written as addition) is commutative. The theory of abelian groups can be considered on the one hand as a part of the general theory of groups and also on the other hand as a part of module theory since every abelian group is a module over the ring ℤ of integers. But at the same time the theory of abelian groups now is an independent branch of algebra.

Keywords: Simple Group; Wreath Product; Frobenius Group; Finite Simple Group; Subgroup Lattice (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-94-017-3267-3_2

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