Centralizers of Elements in Locally Finite Simple Groups
نویسنده
چکیده
Our concern in this paper is to obtain information about the structure of centralizers of elements of locally finite simple groups, in the light of the classification of finite simple groups (CFSG). This classification, in the form that the number of sporadic simple groups is finite, is frequently used, as seems inevitable if real progress with locally finite simple groups is to be made. Centralizers are, of course, a useful source of proper subgroups, and our results are applied in that way in [19, 20]. Our first result deals purely with finite groups.
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