%0 Journal Article
%T Groups with reality and conjugacy conditions
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Chillag, David
%A Longobardi, Patrizia
%A Maj, Mercede
%D 2012
%\ 06/01/2012
%V 1
%N 2
%P 25-38
%! Groups with reality and conjugacy conditions
%K Conjugacy classes
%K real elements
%K FC-groups
%R 10.22108/ijgt.2012.715
%X Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are $2$-elements, groups in which all non-trivial classes have the same finite size and $FC$-groups with two non-trivial conjugacy class sizes.
%U https://ijgt.ui.ac.ir/article_715_6f754fe72c9779f6e33f857d2399a1c3.pdf