본문 바로가기
KERD
논문KCI 등재

Crossed modules and strict Gr-categories

Nguyen Tien Quang|Nguyen Thu Thuy|Pham Thi Cuc
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회논문집 (Communications of the KMS)|제29권 제1호|pp. 9-22

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

obstructioncrossed moduleGr-categorygroup extensiongroup cohomology
주제분류수학

초록

In this paper we state some applications of Gr-category theory to the classification problem of crossed modules and to that of group extensions of the type of a crossed module.

Abstract

In this paper we state some applications of Gr-category theory to the classification problem of crossed modules and to that of group extensions of the type of a crossed module.

참고문헌 (13)

  1. J. C. Baez, "Lauda, Higher dimensional algebra. V. 2-groups", Theory Appl. Categ, 12, pp.423~491 (2004)
  2. R. Brown, "Nonabelian algebraic topology: filtered spaces, crossed complexes, cubical homotopy groupoids", EMS Tracts Math., 15, pp.703~ (2011)
  3. R. Brown, "Covering groups of nonconnected topological groups revisited", Math. Proc. Cambridge Philos. Soc, 115(1), pp.97~110 (1994)
  4. R. Brown, "G-groupoids, crossed modules and the fundamental groupoid of a topological group", Proc. Kon. Ned. Akad. V. Wet, 79(4), pp.296~302 (1976)
  5. R. Brown, "Computation and homotopical applications of induced crossed modules", J. Symbolic Comput, 35(1), pp.59~72 (2003)
  6. M. Calvo, "Higher cohomologies of modules", Algebr. Geom. Topol, 12(1), pp.343~413 (2012)
  7. A. M. Cegarra, "Some algebraic applications of graded categorical group theory", Theory Appl. Categ, 11(10), pp.215~251 (2003)
  8. P. Dedecker, "Les foncteurs Extπ, H2", π et H2, C. R. Acad. Sci. Paris, pp.1964, 258[DOI]
  9. A. Joyal, "Braided tensor categories", Adv. Math, 102(1), pp.20~78 (1993)
  10. S. Mac Lane, "Homology" (1963), Springer-Verlag
  11. B. Noohi, "Notes on 2-groupoids, 2-groups and crossed modules, Homology", Homotopy Appl, 9(1), pp.75~106 (2007)
  12. N. T. Quang, "Monoidal functors between (braided) GR-categories and their applications", East-West J. Math, 13(2), pp.163~186 (2011)
  13. H. X. Sinh, "Gr-categories", doctor, pp.1975

관련 논문AI추천

Generalized crossed modules over generalized group-groupoidsH. Fulya Akız강원경기수학회 · 한국수학논문집2024 · 제32권 제1호EQUIVARIANT CROSSED MODULES AND COHOMOLOGY OF GROUPS WITH OPERATORSNguyen Tien Quang, Pham Thi Cuc대한수학회 · 대한수학회보2015 · 제52권 제4호Crossed semimodules and cat$^{\bf 1}$-monoidsSedat Temel강원경기수학회 · 한국수학논문집2019 · 제27권 제2호Normality and quotient in crossed modules over groupoids and 2-groupoidsSedat Temel강원경기수학회 · 한국수학논문집2019 · 제27권 제1호Derived crossed modulesTunçar Şahan강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Classification of simply connected and aspherical crossed modules of low orderM. Alp장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호

이 간행물의 다른 논문 (20건)

Congruences on abundant semigroups with quasi-ideal S-adequate transversalsLili Wang, Aifa Wangpp. 1-8Unramified scalar extensions of graded division algebras황윤성pp. 23-26ON f-DERIVATIONS FROM SEMILATTICES TO LATTICES연용호, 김경호pp. 27-36On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chungpp. 37-50HERMITE-HADAMARD TYPE INEQUALITIES FOR GEOMETRIC-ARITHMETICALLY s-CONVEX FUNCTIONSFeng Qian, Ju Hua, Bo-Yan Xipp. 51-63
원문 보기