【摘要】 探讨了π-可分群及其子群的不可约π-部分特征标的对应问题,证明了下述主要结论:设G为π-可分群,其中π是某些素数的集合,给定G的一个正规子群N和一个子群U,使得G为N和U的乘积且U在G中的指数为π′-数,假设θ为N的一个不可约π-部分特征标并且θ在N∩U上的限制(记为φ)不可约,则特征标的限制可给出G在θ上方的不可约π-部分特征标集合到N在φ上方的不可约π-部分特征标集合的一个一一对应,该对应加强了Isaacs和N avarro的相关结果.更多还原

【Abstract】 An exploration has been made on the correspondence of irreducible π-partial characters between a π-separable group and its subgroups.Let G be a π-separable group with π being a set of certain primes,N be a normal subgroup of G and U be a subgroup with π′-index in G so to make G be the product of N and U.Suppose θ is an irreducible π-partial character of N such that the restriction of θ to N∩U(denoted φ′) is also irreducible,then,the character restriction defines a correspondence between the set of irreducible π-partial characters of G over θ and the set of irreducible π-partial characters of N over φ′.This correspondence improves the findings by Isaacs and Navarro.更多还原