Groups with Normality Conditions for Non-Periodic Subgroups

Maria De Falco; Francesco de Giovanni; Carmela Musella

Bollettino dell'Unione Matematica Italiana (2011)

  • Volume: 4, Issue: 1, page 109-121
  • ISSN: 0392-4041

Abstract

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The structure of (non-periodic) groups in which all non-periodic subgroups have a prescribed property is investigated. Among other choices, we consider properties generalizing normality, like subnormality, permutability and pronormality. Moreover, non-periodic groups whose proper non-periodic subgroups belong to a given group class are studied.

How to cite

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De Falco, Maria, de Giovanni, Francesco, and Musella, Carmela. "Groups with Normality Conditions for Non-Periodic Subgroups." Bollettino dell'Unione Matematica Italiana 4.1 (2011): 109-121. <http://eudml.org/doc/290714>.

@article{DeFalco2011,
abstract = {The structure of (non-periodic) groups in which all non-periodic subgroups have a prescribed property is investigated. Among other choices, we consider properties generalizing normality, like subnormality, permutability and pronormality. Moreover, non-periodic groups whose proper non-periodic subgroups belong to a given group class are studied.},
author = {De Falco, Maria, de Giovanni, Francesco, Musella, Carmela},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {109-121},
publisher = {Unione Matematica Italiana},
title = {Groups with Normality Conditions for Non-Periodic Subgroups},
url = {http://eudml.org/doc/290714},
volume = {4},
year = {2011},
}

TY - JOUR
AU - De Falco, Maria
AU - de Giovanni, Francesco
AU - Musella, Carmela
TI - Groups with Normality Conditions for Non-Periodic Subgroups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2011/2//
PB - Unione Matematica Italiana
VL - 4
IS - 1
SP - 109
EP - 121
AB - The structure of (non-periodic) groups in which all non-periodic subgroups have a prescribed property is investigated. Among other choices, we consider properties generalizing normality, like subnormality, permutability and pronormality. Moreover, non-periodic groups whose proper non-periodic subgroups belong to a given group class are studied.
LA - eng
UR - http://eudml.org/doc/290714
ER -

References

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