The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules,or Dirac index of the trivial representation.The lifting of tempered characters in terms of index ...The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules,or Dirac index of the trivial representation.The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.展开更多
Let N be a normal subgroup of a finite group G.Let be an irreducible Brauer character of N.Assume π is a set of primes and (1)/(1)is a π'-number for any. X ∈IBr_p(G|).If p|G:N|, and N is p-solvable,then G/N ha...Let N be a normal subgroup of a finite group G.Let be an irreducible Brauer character of N.Assume π is a set of primes and (1)/(1)is a π'-number for any. X ∈IBr_p(G|).If p|G:N|, and N is p-solvable,then G/N has an abelian-by-metabelian Hall-π subgroup:If pπ,then G/N has a metabelian Hall-π subgroup.展开更多
基金Supported by grants(Grant No.16303218)from Research Grant Council of HKSAR。
文摘The endoscopic transfer factor is expressed as difference of characters for the even and odd parts of the spin modules,or Dirac index of the trivial representation.The lifting of tempered characters in terms of index of Dirac cohomology is calculated explicitly.
基金Supported by Beijing Natural Science Foundation[19920003]
文摘Let N be a normal subgroup of a finite group G.Let be an irreducible Brauer character of N.Assume π is a set of primes and (1)/(1)is a π'-number for any. X ∈IBr_p(G|).If p|G:N|, and N is p-solvable,then G/N has an abelian-by-metabelian Hall-π subgroup:If pπ,then G/N has a metabelian Hall-π subgroup.
