The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group An and the symmetric group Sn are calculated. It is shown that c(G...The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group An and the symmetric group Sn are calculated. It is shown that c(G) = q(G) = p(G) = n,when G = An or Sn.展开更多
Hasboo,Oglige-e Bayasqulant Geriin Ejen,Behd Hobdog Hobuun,was a Mongolian scholar of theDream of Red Mansion Dream and literary critic in the Qing Dynasty.He translated one hundred and twentychapters of Dream of Red ...Hasboo,Oglige-e Bayasqulant Geriin Ejen,Behd Hobdog Hobuun,was a Mongolian scholar of theDream of Red Mansion Dream and literary critic in the Qing Dynasty.He translated one hundred and twentychapters of Dream of Red Mansion into forty chapters in classical Mongolian,and left 43 valuable articles,setting a precedent for Mongolian people to read and study A Dream of Red Mansion.Throughout Hasboo’sliterary theory,the comments on the characters in the book are the most classic.This paper intends to sum-marize the research on Hasboo’s character theory by combing the 21 st century Hasboo’s character theory re-search and also analyzes the characteristics of Hasboo’s character theory research.On the basis of theachievements and deficiencies in the field,the trend of the future research on Hasboo’s character theory isproposed.The study of Hasiboo’s literary theory is an important part of the study of Mongolian literary theo-ry,and it is one of the indispensable contents of the study of the related area and even the theory of ancientChinese novels.By summarizing and analyzing the academic circles’research on Hasboo’s literary theory,it has enriched Hasboo’s research and research of the Dream of Red Mansion,and it has certain practicalsignificance in promoting the relationship between Mongolian and Chinese literature.展开更多
A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We c...A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We classify the groups and primes that have exactly one super-Brauer character theory.We discuss the groups with exactly two super-Brauer character theories.展开更多
文摘The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group An and the symmetric group Sn are calculated. It is shown that c(G) = q(G) = p(G) = n,when G = An or Sn.
文摘Hasboo,Oglige-e Bayasqulant Geriin Ejen,Behd Hobdog Hobuun,was a Mongolian scholar of theDream of Red Mansion Dream and literary critic in the Qing Dynasty.He translated one hundred and twentychapters of Dream of Red Mansion into forty chapters in classical Mongolian,and left 43 valuable articles,setting a precedent for Mongolian people to read and study A Dream of Red Mansion.Throughout Hasboo’sliterary theory,the comments on the characters in the book are the most classic.This paper intends to sum-marize the research on Hasboo’s character theory by combing the 21 st century Hasboo’s character theory re-search and also analyzes the characteristics of Hasboo’s character theory research.On the basis of theachievements and deficiencies in the field,the trend of the future research on Hasboo’s character theory isproposed.The study of Hasiboo’s literary theory is an important part of the study of Mongolian literary theo-ry,and it is one of the indispensable contents of the study of the related area and even the theory of ancientChinese novels.By summarizing and analyzing the academic circles’research on Hasboo’s literary theory,it has enriched Hasboo’s research and research of the Dream of Red Mansion,and it has certain practicalsignificance in promoting the relationship between Mongolian and Chinese literature.
基金supported by China Scholarship Councilthe Fund for Young Key Teachers of Henan University of Technology+2 种基金the Fund of Henan Administration of Foreign Experts Affairsthe Project of Henan Province(Grant No.182102410049)the NSFC(Grant Nos.11571129,11771356,11971189 and 11926330)。
文摘A super-Brauer character theory of a group G and a prime p is a pair consisting of a partition of the irreducible p-Brauer characters and a partition of the p-regular elements of G that satisfy certain properties.We classify the groups and primes that have exactly one super-Brauer character theory.We discuss the groups with exactly two super-Brauer character theories.