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- W1667425677 abstract "Let chi be an irreducible character of the finite group G. If g is an element of G and chi(g) is not zero, then we conjecture that the order of g divides |G|/chi(1). The conjecture is a generalization of the classical fact that irreducible p-projective characters vanish on p-singular elements, since the latter is equivalent to saying that if chi(g) is not zero then the square free part of the order of g divides |G|/chi(1). We prove some partial results on the conjecture; in particular, we show that the order of g divides (|G|/chi(1))^2. Using these results, we derive some bounds on heights of characters. We also pose a related conjecture concerning congruences satisfied by central character values." @default.
- W1667425677 created "2016-06-24" @default.
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- W1667425677 date "2006-04-14" @default.
- W1667425677 modified "2023-09-27" @default.
- W1667425677 title "Orders of elements and zeros and heights of characters in a finite group" @default.
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