On the capability of finite p-groups with derived subgroup of order p

A group is said to be capable if it is a central factor group. Let denotes the class of finite p-groups with derived subgroup of order p and central factor group of order p 2 . In this paper for groups in , we compute the various homological functors, among them the nonabelian tensor square and the...

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Bibliographic Details
Published in:	Communications in algebra Vol. 47; no. 7; pp. 2920 - 2930
Main Authors:	Seifi, Monireh, Hadi Jafari, S.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 03-07-2019 Taylor & Francis Ltd
Subjects:	Capability finite p-groups Homology non-Abelian tensor square Primary 20D15 Secondary 20J99 Subgroups Tensors
Online Access:	Get full text
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Summary:	A group is said to be capable if it is a central factor group. Let denotes the class of finite p-groups with derived subgroup of order p and central factor group of order p 2 . In this paper for groups in , we compute the various homological functors, among them the nonabelian tensor square and the Schur multiplier. Furthermore, the epicenters of all these groups are determined to give a complete classification of finite capable p-groups with derived subgroup of order p.
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927872.2018.1543425