On Blichfeldt's like congruencesand other close characters - conjugacy classes analogs

摘要

Imposing identical assumptions on characters and on conjugacy classes of finite groups, yields in many cases analogous results. Sometimes the conclusions of the analogs are (almost) identical as well. We call these, close analogs. We review (some old, some very elementary) examples of close analogs and describe a recent one which is an analog of a congruence of Blichfeldt involving the group order.