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 CC=U. Hence generalized version of J. G. Thompson's conjecture is true for every non-trivial conjugacy class C in U. Moreover Ore's conjecture (every element is a commutator) is true for U is added to [4]. In [4, Theorem 2.4] C U (F)/Z(F)U is true if Z(F)=1.

DOI : 10.4171/RSMUP/28
Classification : 20, 00
Mots-clés : Infinite symmetric groups, universal groups, centralizers of subgroups
Kegel, Otto 1 ; Kuzucuoğlu, Mahmut 2

1 Universität Freiburg, Germany
2 Middle East Technical University, Ankara, Turkey
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     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},
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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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