On a group-theoretical generalization of the Gauss formula

Georgiana Fasolă; Marius Tărnăuceanu

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 1, page 311-317
  • ISSN: 0011-4642

Abstract

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We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.

How to cite

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Fasolă, Georgiana, and Tărnăuceanu, Marius. "On a group-theoretical generalization of the Gauss formula." Czechoslovak Mathematical Journal 73.1 (2023): 311-317. <http://eudml.org/doc/299453>.

@article{Fasolă2023,
abstract = {We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.},
author = {Fasolă, Georgiana, Tărnăuceanu, Marius},
journal = {Czechoslovak Mathematical Journal},
keywords = {Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group},
language = {eng},
number = {1},
pages = {311-317},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a group-theoretical generalization of the Gauss formula},
url = {http://eudml.org/doc/299453},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Fasolă, Georgiana
AU - Tărnăuceanu, Marius
TI - On a group-theoretical generalization of the Gauss formula
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 1
SP - 311
EP - 317
AB - We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.
LA - eng
KW - Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group
UR - http://eudml.org/doc/299453
ER -

References

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