The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal
By studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of finite fields, that is, modular representation th...
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Harbin University of Science and Technology Publications
2020-08-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1861 |
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| author | WANG Hong QIAN Fangsheng |
| author_facet | WANG Hong QIAN Fangsheng |
| author_sort | WANG Hong |
| collection | DOAJ |
| description | By studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of finite fields, that is, modular representation theoryThe basic problem of modular representation theory for finite groups is to determine the Morita equivalence class of pblock algebras of a given finite groupAt present, the international research on model representation mainly focuses on the following two issues:One is to characterize the structure of pblock algebras of known groups, especially finite simple groupsThe other is the qualitative study of pblock algebras of general finite groupsThe deficient group plays a key role in the block theory of modular representation theory of finite groups It is the most important object connecting the properties of group theory and representation theory In this paper, we study the existence of zero deficient blocks of finite groupsBy using the properties of subgroups, the necessary and sufficient conditions for the existence of null deficient blocks in finite groups are given |
| format | Article |
| id | doaj-art-0812c485fa734d37a154459f087456a1 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-0812c485fa734d37a154459f087456a12025-08-20T03:36:10ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-08-01250416717010.15938/j.jhust.2020.04.025The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being SeminormalWANG Hong0QIAN Fangsheng1School of Mathematics, Heihe University, HeiHe 164300, ChinaSchool of Mathematics Science, Harbin Normal University, Harbin 150025, ChinaBy studying homogeneous polynomials related to groups, the complex index of finite groups is defined.The theory of complex index and its complex representation has been developed and perfected quickly So people began to consider the representation of finite fields, that is, modular representation theoryThe basic problem of modular representation theory for finite groups is to determine the Morita equivalence class of pblock algebras of a given finite groupAt present, the international research on model representation mainly focuses on the following two issues:One is to characterize the structure of pblock algebras of known groups, especially finite simple groupsThe other is the qualitative study of pblock algebras of general finite groupsThe deficient group plays a key role in the block theory of modular representation theory of finite groups It is the most important object connecting the properties of group theory and representation theory In this paper, we study the existence of zero deficient blocks of finite groupsBy using the properties of subgroups, the necessary and sufficient conditions for the existence of null deficient blocks in finite groups are givenhttps://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1861nilpotent grouppblock of defect 0defect groupsemi normal subgroups |
| spellingShingle | WANG Hong QIAN Fangsheng The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal Journal of Harbin University of Science and Technology nilpotent group pblock of defect 0 defect group semi normal subgroups |
| title | The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal |
| title_full | The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal |
| title_fullStr | The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal |
| title_full_unstemmed | The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal |
| title_short | The Existence of pblocks of Defect 0 in a Finite Groups with Some Subgroups Being Seminormal |
| title_sort | existence of pblocks of defect 0 in a finite groups with some subgroups being seminormal |
| topic | nilpotent group pblock of defect 0 defect group semi normal subgroups |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1861 |
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