Splitting properties of hyper-(rank one) groups

Francesco de Giovanni; Martin L. Newell

doi:10.4399/97888548908178

Splitting properties of hyper-(rank one) groups

Francesco de Giovanni
, Martin L. Newell

Mathematics

University of Naples Federico II

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

A group G is said to be an H₁-group (a P₁-group, respectively) if it has an ascending (finte, respectively) normal series whose factors have rank 1. Some splitting and conjugacy theorems for groups with an H₁ (or a P₁)-homomorphic image are proved.

Original language	English
Pages (from-to)	113-129
Number of pages	17
Journal	Advances in Group Theory and Applications
Volume	1
DOIs	https://doi.org/10.4399/97888548908178
Publication status	Published - 2016

Keywords

Hyper-(rank one) group; splitting theorem

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10.4399/97888548908178

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title = "Splitting properties of hyper-(rank one) groups",

abstract = "A group G is said to be an H1-group (a P1-group, respectively) if it has an ascending (finte, respectively) normal series whose factors have rank 1. Some splitting and conjugacy theorems for groups with an H1 (or a P1)-homomorphic image are proved.",

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AU - Newell, Martin L.

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AB - A group G is said to be an H1-group (a P1-group, respectively) if it has an ascending (finte, respectively) normal series whose factors have rank 1. Some splitting and conjugacy theorems for groups with an H1 (or a P1)-homomorphic image are proved.

KW - Hyper-(rank one) group; splitting theorem

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DO - 10.4399/97888548908178

M3 - Article

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VL - 1

SP - 113

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JO - Advances in Group Theory and Applications

JF - Advances in Group Theory and Applications

ER -

Splitting properties of hyper-(rank one) groups

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