Corrigendum and addendum to “Centralizers of finite subgroups in Hall’s universal group”
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 37-39.
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In Hall's universal group every non-trivial conjugacy class satisfies . Hence generalized version of J. G. Thompson's conjecture is true for every non-trivial conjugacy class in . Moreover Ore's conjecture (every element is a commutator) is true for is added to [4]. In [4, Theorem 2.4] is true if .
DOI :
10.4171/RSMUP/28
Classification :
20, 00
Mots clés : Infinite symmetric groups, universal groups, centralizers of subgroups
Mots clés : Infinite symmetric groups, universal groups, centralizers of subgroups
Affiliations des auteurs :
Kegel, Otto 1 ;
Kuzucuoğlu, Mahmut 2
@article{RSMUP_2019__142__37_0,
author = {Kegel, Otto and Kuzucuo\u{g}lu, Mahmut},
title = {Corrigendum and addendum to {{\textquotedblleft}Centralizers} of finite subgroups in {Hall{\textquoteright}s} universal group{\textquotedblright}},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {37--39},
publisher = {European Mathematical Society Publishing House},
address = {Zuerich, Switzerland},
volume = {142},
year = {2019},
doi = {10.4171/RSMUP/28},
mrnumber = {4032802},
zbl = {1453.20050},
url = {http://www.numdam.org/articles/10.4171/RSMUP/28/}
}
TY - JOUR AU - Kegel, Otto AU - Kuzucuoğlu, Mahmut TI - Corrigendum and addendum to “Centralizers of finite subgroups in Hall’s universal group” JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 37 EP - 39 VL - 142 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/28/ DO - 10.4171/RSMUP/28 ID - RSMUP_2019__142__37_0 ER -
%0 Journal Article %A Kegel, Otto %A Kuzucuoğlu, Mahmut %T Corrigendum and addendum to “Centralizers of finite subgroups in Hall’s universal group” %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 37-39 %V 142 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/28/ %R 10.4171/RSMUP/28 %F RSMUP_2019__142__37_0
Kegel, Otto; Kuzucuoğlu, Mahmut. Corrigendum and addendum to “Centralizers of finite subgroups in Hall’s universal group”. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 37-39. doi : 10.4171/RSMUP/28. http://www.numdam.org/articles/10.4171/RSMUP/28/
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