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
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Sambale, B. (2014). Products of Metacyclic Groups. In: Blocks of Finite Groups and Their Invariants. Lecture Notes in Mathematics, vol 2127. Springer, Cham. https://doi.org/10.1007/978-3-319-12006-5_9
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DOI: https://doi.org/10.1007/978-3-319-12006-5_9
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