The Classification Problem for Groups

Steven Roman

Chapter Chapter 9 in Fundamentals of Group Theory, 2012, pp 263-271 from Springer

Abstract: Abstract One of the most important outstanding problems of group theory is the problem of classifying all groups up to isomorphism. This is the classification problem for groups. More precisely, isomorphism of groups is an equivalence relation. Therefore, a set of canonical forms or a complete invariant constitutes a theoretical solution to the classification problem for groups. Of course, it may not be a practical solution unless some form of “algorithm” is available for determining the canonical form or invariant of any group.

Date: 2012
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DOI: 10.1007/978-0-8176-8301-6_9

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