Products of Metacyclic Groups

  • Benjamin Sambale
Chapter
First Online:
Part of the Lecture Notes in Mathematics book series (LNM, volume 2127)

Abstract

In this chapter we are able to determine the invariants of block whose defect groups are direct and central products of metacyclic 2-groups. More precisely, we consider products of cyclic groups and 2-groups of maximal nilpotency class. These are the dihedral, semidihedral and quaternion groups. As an application we verify several open conjectures for these special cases.

Keywords

Central Product Fusion System Defect Group Nilpotency Class Quaternion Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Benjamin Sambale
    • 1
  1. 1.Institut für MathematikFriedrich-Schiller-Universität JenaJenaGermany

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