Finite p-groups in which every cyclic subgroup is 2-subnormal

Elizabeth A. Ormerod

doi:10.1017/S0017089502030094

Finite p-groups in which every cyclic subgroup is 2-subnormal

Elizabeth A. Ormerod^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U_2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U_2,1, and showing that any finite p-group in U_2,1, with p ≥ 5, must be a homomorphic image of one of these groups.

Original language	English
Pages (from-to)	443-453
Number of pages	11
Journal	Glasgow Mathematical Journal
Volume	44
Issue number	3
DOIs	https://doi.org/10.1017/S0017089502030094
Publication status	Published - Sept 2002

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title = "Finite p-groups in which every cyclic subgroup is 2-subnormal",

abstract = "This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U2,1, and showing that any finite p-group in U2,1, with p ≥ 5, must be a homomorphic image of one of these groups.",

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AU - Ormerod, Elizabeth A.

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AB - This paper investigates finite p-groups, p ≥ 5, in which every cyclic subgroup has defect at most two. This class of groups is often denoted by U2,1. The main result is a theorem which characterises these groups by identifying a family of groups in U2,1, and showing that any finite p-group in U2,1, with p ≥ 5, must be a homomorphic image of one of these groups.

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DO - 10.1017/S0017089502030094

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JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 3

ER -

Finite p-groups in which every cyclic subgroup is 2-subnormal

Abstract

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