Sui gruppi Z-sequenziabili

Anna Maria Pagliuca Raugei; Sandra Tucci Scarselli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1979)

  • Volume: 66, Issue: 2, page 97-102
  • ISSN: 0392-7881

Abstract

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A finite group is called Z-sequenceable if its non-identity elements can be listed x 1 , x 2 , ⋯ , x n so that x i ⁢ x i + 1 = x i + 1 ⁢ x i for i = 1 , 2 , ⋯ , n ⁢ — ⁢ 1 . Various conditions are determined for a group G to be Z-sequenceable. Moreover several well known classes of groups which satisfy such conditions are found out.

How to cite

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Pagliuca Raugei, Anna Maria, and Tucci Scarselli, Sandra. "Sui gruppi Z-sequenziabili." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 66.2 (1979): 97-102. <http://eudml.org/doc/288923>.

@article{PagliucaRaugei1979,
author = {Pagliuca Raugei, Anna Maria, Tucci Scarselli, Sandra},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {2},
number = {2},
pages = {97-102},
publisher = {Accademia Nazionale dei Lincei},
title = {Sui gruppi Z-sequenziabili},
url = {http://eudml.org/doc/288923},
volume = {66},
year = {1979},
}

TY - JOUR
AU - Pagliuca Raugei, Anna Maria
AU - Tucci Scarselli, Sandra
TI - Sui gruppi Z-sequenziabili
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1979/2//
PB - Accademia Nazionale dei Lincei
VL - 66
IS - 2
SP - 97
EP - 102
LA - ita
UR - http://eudml.org/doc/288923
ER -

References

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  1. Friedlander, R.J. (1976) - Sequences in non-abelian groups with distinct partial products; «Aequat. Mat.», 14, 59-66. Zbl0325.20020
  2. Friedlander, R.J. e Miller, M.D. (1977) - On some sequencing problems in finite groups; «Discrete Math.», 19, 77-84. Zbl0376.20020
  3. Gordon, B. (1961) - Sequences in groups with distincts partial products; «Pacific J. Math.», 11, 1309-1313. Zbl0103.26202
  4. Nakanishi, M. (1967) - On a kind of connectivity in finite groups, «Sci. Rep. Tokyo Kyoiku Daigaku», Sect. A9, 158-162. 
  5. Williams, J.S. (1976) - A Sufficient Condition on Centralizers for a Finite Group to Contain a Proper CCT-Subgroup; «Journal of Algebra», 42, 549-556. Zbl0349.20009
  6. Zappa, G. (1965) - Fondamenti di Teoria dei Gruppi; Roma. 

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