5 papers
The character degree product and the conjugacy length product for finite general linear groups
Akihiko Hida, Masahiro Sugimoto
Let be a finite group. K. Harada conjectured that the product of degrees of all irreducible characters of divides the product of lengths of all conjugacy classes of . We…
Lower defect groups and vertices of simple modules
Akihiko Hida, Masao Kiyota
We compare lower defect groups associated with -regular classes and vertices of simple modules for a block of a finite group algebra. We show that lower defect groups are contai…
Representations of the double Burnside algebra and cohomology of the extraspecial p-group II
Akihiko Hida, Nobuaki Yagita
Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We consider the mod p cohomology of summands in the stable splitting of p-completed classifyi…
The splitting of cohomology of p-groups with rank 2
Akihiko Hida, Nobuaki Yagita
Let BP be the p-completed classifying space of a p-group P with p-rank 2. For an odd prime p, by using stable homotopy splitting of BP, we study the decomposition of even dimension…
Representations of the Double Burnside Algebra and Cohomology of the Extraspecial p-Group
Akihiko Hida, Nobuaki Yagita
Let E be the extraspecial p-group of order p^3 and exponent p where p is an odd prime. We determine the mod p cohomology of summands in the stable splitting of p-completed classify…