Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the n...Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the number of Iπ-characters of G overθ to take the possible maximum ｜G：N｜π. Some applications are given.展开更多
In 1984, Isaacs proposed the theories of Bπ-character and Iπ-character in π-separated group. This paper gives some new extension conditions of Iπ characters.
Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer modular characters. Motivated by Isaacs＇s work, we introduce the definition of Mπ-groups and provide ...Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer modular characters. Motivated by Isaacs＇s work, we introduce the definition of Mπ-groups and provide a characterization of Mπ-groups.展开更多
基金Supported by the NSF of Shanxi Province(2013011001-3)
文摘Let G be aπ-separable group for a set of primes, let N be a normal subgroup of G, and letθbe an Iπ-character （i.e., irreducibleπ-partial character） of N . We obtain a necessary and sufficient condition for the number of Iπ-characters of G overθ to take the possible maximum ｜G：N｜π. Some applications are given.
基金Supported by the Education Hall Foundation of Zhejiang Province(20051313)
文摘In 1984, Isaacs proposed the theories of Bπ-character and Iπ-character in π-separated group. This paper gives some new extension conditions of Iπ characters.
基金Supported by NSF of China(1117116911071155)the B.S.Foundation of Shandong Province(BS2012SF003)
文摘Let π be a set of primes. Isaacs established the π-theory of characters, which generalizes the theory of Brauer modular characters. Motivated by Isaacs＇s work, we introduce the definition of Mπ-groups and provide a characterization of Mπ-groups.
