3 citations · 10 across the 18 of their papers we have counts for
12 papers · 1 filter
The Stable Picard Group of A(n)
Jianzhong Pan, Rujia Yan
In this paper, we showed that the Stable Picard group of for is by considering the endotrivial modules over . The proof relies…
On Modular Cohomotopy Groups
Pengcheng Li, Jianzhong Pan, Jie Wu
Let be a prime and let be the set of homotopy classes of based maps from CW-complexes into the mod Moore spaces $M_n(\…
Classification of the congruence classes of with 2-torsion free homology
Zhongjian Zhu, Jianzhong Pan
In this paper, we classify the congruence classes of -polyhedra, i.e. -connected, at most -dimensional polyhedra with 2-torsion free homology. Th…
The decomposability of smash product of A_n^2-complexes
Zhongjian Zhu, Jianzhong Pan
In this paper, we determine the decomposability of smash product of two indecomposable A_n^2-complexes, i.e., (n-1)-connected finite CW-complexes with dimension at most n+2 (n\geq…
The stable homotopy classification of -connected -dimensional polyhedra with 2 torsion free homology
Jianzhong Pan, Zhongjian Zhu
In this paper, we study the stable homotopy types of -polyhedra, i.e., -connected, at most -dimensional polyhedra with 2-torsion free homologies.…
Compatible Actions and Cohomology of Crystallographic Groups
Alejandro Adem, Jianquan Ge, Jianzhong Pan +1
We compute the cohomology of crystallographic groups with holonomy of prime order. As an application we compute the group of gerbes associated to many six--dimensional toroidal orb…
Toroidal orbifolds, gerbes and group cohomology
Alejandro Adem, Jianzhong Pan
We compute the integral cohomology of certain semi-direct products arising from a linear G-action on the n-torus, where G is a finite group. The main application is the complete ca…
Phantom elements and its Applications
Jianzhong Pan, Moo Ha Woo
In our previous work, a relation between Tsukiyama problem about self homotopy equivalence was found by using a generalization of phantom map. In this note, fundamental result is e…
Mislin genus of maps
Jianzhong Pan, Moo Ha Woo
In this paper, we prove that the Mislin genus of a (co-)H-map between (co-)H-spaces under certain natural conditions is a finite abelian group which generalizes results in Zabrodsk…
Equivariant Phantom maps
Jianzhong Pan
A successful generalization of phantom map theory to the equivariant case for all compact Lie groups is obtained in this paper. One of the key observations is the discovery of the…
Having the H-space structure is not a generic property
Jianzhong Pan
In this note, we answer in negative a question posed by McGibbon about the generic property of H-space structure. In fact we verify the conjecture of Roitberg. Incidentally, the sa…
Secondary Brown-Kervaire Quadratic forms and -manifolds
Fuquan Fang, Jianzhong Pan
In this paper we define a secondary Brown-Kervaire quadratic forms. Among the applications we obtain a complete classification of (n-2)-connected 2n-dimensional framed manifolds up…