A note on groups with few isomorphism classes of subgroups

Francesco de Giovanni; Alessio Russo

Colloquium Mathematicae (2016)

  • Volume: 144, Issue: 2, page 265-271
  • ISSN: 0010-1354

Abstract

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The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).

How to cite

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Francesco de Giovanni, and Alessio Russo. "A note on groups with few isomorphism classes of subgroups." Colloquium Mathematicae 144.2 (2016): 265-271. <http://eudml.org/doc/286553>.

@article{FrancescodeGiovanni2016,
abstract = {The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).},
author = {Francesco de Giovanni, Alessio Russo},
journal = {Colloquium Mathematicae},
keywords = {isomorphism class; locally graded group},
language = {eng},
number = {2},
pages = {265-271},
title = {A note on groups with few isomorphism classes of subgroups},
url = {http://eudml.org/doc/286553},
volume = {144},
year = {2016},
}

TY - JOUR
AU - Francesco de Giovanni
AU - Alessio Russo
TI - A note on groups with few isomorphism classes of subgroups
JO - Colloquium Mathematicae
PY - 2016
VL - 144
IS - 2
SP - 265
EP - 271
AB - The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).
LA - eng
KW - isomorphism class; locally graded group
UR - http://eudml.org/doc/286553
ER -

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