Semidirect Products of Generalized Quaternion Groups by a Cyclic Group

Peeter Puusemp ()
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Peeter Puusemp: Tallinn University of Technology, Department of Mathematics

Chapter 13 in Generalized Lie Theory in Mathematics, Physics and Beyond, 2009, pp 141-149 from Springer

Abstract: All semidirect products G = Q >n λ C >2 of generalized quaternion groups Q >n (n ≥ 3) by the cyclic group C >2 of order two are found and described by their en-domorphism semigroups. It follows from this description that each such semidirect product is determined by its endomorphism semigroup in the class of all groups.

Date: 2009
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DOI: 10.1007/978-3-540-85332-9_13

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