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Sui gruppi finiti in cui classi distinte di elementi coniugati hanno diversa cardinalità
Let G be a finite group of order ( and different primes) such that no different coniugacy classes of G have the same cardinality. Then G is the symmetric group on three letters.
Gilotti, Anna Luisa. "Sui gruppi finiti in cui classi distinte di elementi coniugati hanno diversa cardinalità." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.4 (1975): 501-507. <http://eudml.org/doc/291251>.
@article{Gilotti1975,
author = {Gilotti, Anna Luisa},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {ita},
month = {4},
number = {4},
pages = {501-507},
publisher = {Accademia Nazionale dei Lincei},
title = {Sui gruppi finiti in cui classi distinte di elementi coniugati hanno diversa cardinalità},
url = {http://eudml.org/doc/291251},
volume = {58},
year = {1975},
}
TY - JOUR
AU - Gilotti, Anna Luisa
TI - Sui gruppi finiti in cui classi distinte di elementi coniugati hanno diversa cardinalità
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/4//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 4
SP - 501
EP - 507
LA - ita
UR - http://eudml.org/doc/291251
ER -
- GORENSTEIN, D. (1968) - Finite Groups. Harper and Row. Zbl0185.05701MR231903
- MARKEL, F. M. (1973) - Groups with many conjugate elements, «Journal of Algebra», 26, 69-74- MR330287DOI10.1016/0021-8693(73)90034-3
- SUZUKI, M. (1951) - A characterization of simple groups LF(2,p), «Journal Fac. Sc. Un. Tokyo», Section I, 6, 259-293. Zbl0044.01602MR47657
- SUZUKI, M. (1959) - On finite groups containing an element of order four which commutes only with its powers, «Illinois Journal of Math.», 3, 255-271. Zbl0085.01601MR104733
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