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Abelianization of some finite metacyclic 2-groups

Mohd. Ali, Nor Muhainiah Abelianization of some finite metacyclic 2-groups. In: International Science Postgraduate Conference 2012 (ISPC 2012).

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Abstract

A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Finite metacyclic groups can be presented with two generators and three defining relations. In this work, we determine the structures of the derived subgroup, abelianization and itsWhitehead's quadratic functor of some finite nonabelian metacyclic 2-groups based on their classification done by Beuerle in 2005. In addition, the nonabelin tensor product for some cyclicgroups is determined.

Item Type:Conference or Workshop Item (Paper)
ID Code:33982
Deposited By: Liza Porijo
Deposited On:16 Aug 2017 03:49
Last Modified:16 Aug 2017 03:49

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