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Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen

Benson D. J (David J.), <1955->

Providence, Rhode Island : , : American Mathematical Society, , 1991

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Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen

Benson D. J (David J.), <1955->

Providence, Rhode Island : , : American Mathematical Society, , 1991

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Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen

Benson D. J (David J.), <1955->

Providence, Rhode Island : , : American Mathematical Society, , 1991

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Modular representation theory : new trends and methods / / D. Benson

Benson D. J (David J.), <1955->

Berlin, Germany : , : Springer, , [1984]

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Representations of elementary abelian p-groups and vector bundles / / David J. Benson, University of Aberdeen

Benson D. J (David J.), <1955->

Cambridge : , : Cambridge University Press, , 2017

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Autore	Benson D. J (David J.), <1955->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica	1 online resource (113 p.)
Disciplina	514
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Low-dimensional topology Complexes Mappings (Mathematics) Homology theory
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0869-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The modâ€?5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The modâ€?3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The modâ€?2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H(Î£[sub(6)]; H(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3"" ""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Î£[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H(Î£[sub(6)]; ,H(K[sub(6)],F[sub(2)])) â?? H(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H(T[sup(6)][sub(0,0,)], F[sub(2)] and H(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H(F(S[sup(2)],6)/Î£[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]""
Record Nr.	UNINA-9910480715603321

Autore	Benson D. J (David J.), <1955->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica	1 online resource (113 p.)
Disciplina	514
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Low-dimensional topology Complexes Mappings (Mathematics) Homology theory
ISBN	1-4704-0869-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The modâ€?5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The modâ€?3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The modâ€?2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H(Î£[sub(6)]; H(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3"" ""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Î£[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H(Î£[sub(6)]; ,H(K[sub(6)],F[sub(2)])) â?? H(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H(T[sup(6)][sub(0,0,)], F[sub(2)] and H(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H(F(S[sup(2)],6)/Î£[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]""
Record Nr.	UNINA-9910788875103321

Autore	Benson D. J (David J.), <1955->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , 1991
Descrizione fisica	1 online resource (113 p.)
Disciplina	514
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Low-dimensional topology Complexes Mappings (Mathematics) Homology theory
ISBN	1-4704-0869-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The modâ€?5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The modâ€?3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The modâ€?2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H(Î£[sub(6)]; H(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3"" ""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Î£[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H(Î£[sub(6)]; ,H(K[sub(6)],F[sub(2)])) â?? H(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H(T[sup(6)][sub(0,0,)], F[sub(2)] and H(T[sup(0)][sub(2,0,)], F[sub(2)]"" ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H(F(S[sup(2)],6)/Î£[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]""
Record Nr.	UNINA-9910827766103321

Autore	Benson D. J (David J.), <1955->
Edizione	[1st ed. 1984.]
Pubbl/distr/stampa	Berlin, Germany : , : Springer, , [1984]
Descrizione fisica	1 online resource (245 p.)
Disciplina	512.2
Collana	Lecture Notes in Mathematics
Soggetto topico	Modular representations of groups
ISBN	1-280-62117-6 9786610621170 3-540-38940-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Introduction""; ""Table of Contents""; ""Conventions and Abbreviations""; ""References""; ""Index""
Record Nr.	UNISA-996466528003316

Autore	Benson D. J (David J.), <1955->
Pubbl/distr/stampa	Cambridge : , : Cambridge University Press, , 2017
Descrizione fisica	1 online resource (xvii, 328 pages) : digital, PDF file(s)
Disciplina	512/.25
Collana	Cambridge tracts in mathematics
Soggetto topico	Abelian p-groups Abelian groups Vector bundles
ISBN	1-316-80054-7 1-316-80565-4 1-316-80492-5 1-316-79569-1 1-316-80638-3 1-316-80711-8 1-316-80930-7 9781316807118
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910155152103321