Prime divisors of conjugacy class lengths in finite groups
- Volume: 2, Issue: 2, page 111-113
- ISSN: 1120-6330
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topCasolo, Carlo. "Prime divisors of conjugacy class lengths in finite groups." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.2 (1991): 111-113. <http://eudml.org/doc/244139>.
@article{Casolo1991,
abstract = {We show that in a finite group \( G \) which is \( p \)-nilpotent for at most one prime dividing its order, there exists an element whose conjugacy class length is divisible by more than half of the primes dividing \( \mid G/Z(G) \mid \).},
author = {Casolo, Carlo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Finite groups; Conjugacy classes; Lengths; prime divisors; Sylow -subgroups},
language = {eng},
month = {6},
number = {2},
pages = {111-113},
publisher = {Accademia Nazionale dei Lincei},
title = {Prime divisors of conjugacy class lengths in finite groups},
url = {http://eudml.org/doc/244139},
volume = {2},
year = {1991},
}
TY - JOUR
AU - Casolo, Carlo
TI - Prime divisors of conjugacy class lengths in finite groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/6//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 2
SP - 111
EP - 113
AB - We show that in a finite group \( G \) which is \( p \)-nilpotent for at most one prime dividing its order, there exists an element whose conjugacy class length is divisible by more than half of the primes dividing \( \mid G/Z(G) \mid \).
LA - eng
KW - Finite groups; Conjugacy classes; Lengths; prime divisors; Sylow -subgroups
UR - http://eudml.org/doc/244139
ER -
References
top- CHILLAG, D. - HERZOG, M., On the length of the conjugacy classes of finite groups. J. Algebra, 131, 1990, 110-125. Zbl0694.20015MR1055001DOI10.1016/0021-8693(90)90168-N
- FERGUSON, P., Connections between prime divisors of conjugacy classes and prime divisors of . J. Algebra, to appear. Zbl0735.20011
- GLUCK, D. - MANZ, O., Prime factors of character degrees of solvable groups. Bull. London Math. Soc, 19, 1987, 431-437. Zbl0627.20007MR898721DOI10.1112/blms/19.5.431
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