Zobrazeno 1 - 10
of 12
pro vyhledávání: '"W. H. Mannan"'
Autor:
Tomasz Popiel, W. H. Mannan
We introduce a new family of presentations for the quaternion groups and show that for the quaternion group of order 28, one of these presentations has non-standard second homotopy group.
22 pages. Appendix added this version contains proofs of
22 pages. Appendix added this version contains proofs of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cc89d5b7b70439893b1b1a789840cae
http://arxiv.org/abs/1901.10786
http://arxiv.org/abs/1901.10786
Autor:
W. H. Mannan
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 161:199-202
Gruenberg and Linnell showed that the standard relation module of a free product of n groups of the form Cr × $\mathbb{Z}$ could be generated by just n + 1 generators, raising the possibility of a relation gap. We explicitly give such a set of gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da61fc91f1022ecd04c94e3e50e1eefa
https://doi.org/10.1017/s0305004116000189
https://doi.org/10.1017/s0305004116000189
Autor:
Seamus O’Shea, W. H. Mannan
Publikováno v:
Algebr. Geom. Topol. 13, no. 6 (2013), 3287-3304
In 1965 Wall showed that for n > 2, if a finite cell complex is cohomologically n– dimensional (in the sense of having no non-trivial cohomology in dimensions above n with respect to any coefficient bundle), then it is in fact homotopy equivalent t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c363d7304f88869072a889f691c4b3d4
https://doi.org/10.2140/agt.2013.13.3287
https://doi.org/10.2140/agt.2013.13.3287
We extend a construction of Hinich to obtain a closed model category structure on all differential graded cocommutative coalgebras over an algebraically closed field of characteristic zero. We further show that the Koszul duality between commutative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36a355dc9a91a648f85a57398468a28f
https://doi.org/10.4310/HHA.2016.v18.n2.a17
https://doi.org/10.4310/HHA.2016.v18.n2.a17
Publikováno v:
Forum Mathematicum. 27:131-177
We present an infinite series formula based on the Karoubi-Hamida integral, for the universal Borel class evaluated on H_{2n+1}(GL(\mathbb{C})). For a cyclotomic field F we define a canonical set of elements in K_3(F) and present a novel approach (ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73df67655efdc0ed259df9356aa4e4e6
https://doi.org/10.1515/forum-2012-0064
https://doi.org/10.1515/forum-2012-0064
Autor:
W. H. Mannan
Publikováno v:
Bulletin of the London Mathematical Society. 40:664-674
Given a connected 2-complex X with fundamental group G, we show how ?3(X) may be computed as a module over Z[G]. Further, if X is a finite connected 2-complex with G(= ?1(X)) finite of odd order, then the stable class of ?3(X) is determined by G. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef242ce2d6b18a4baed906e141acaab8
https://doi.org/10.1112/blms/bdn047
https://doi.org/10.1112/blms/bdn047
Autor:
W. H. Mannan
Publikováno v:
Algebr. Geom. Topol. 7, no. 1 (2007), 517-528
Wall’s [math] problem asks if a cohomologically 2–dimensional geometric 3–complex is necessarily homotopy equivalent to a geometric 2–complex. We solve part of the problem when the fundamental group is dihedral of order [math] and give a comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::732ec9d0af99370b9fb1318688587243
https://doi.org/10.2140/agt.2007.7.517
https://doi.org/10.2140/agt.2007.7.517
We construct a generalization of Koszul duality in the sense of Keller--Lef\`evre for not necessarily augmented algebras. This duality is closely related to classical Morita duality and specializes to it in certain cases.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d081c12166e2124f75b24794dd34720a
Autor:
W. H. Mannan
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings. We demonstrate this with an alternative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f01ca90f7a9d70696aa7d69dffbd0f3f
Autor:
W. H. Mannan
Publikováno v:
Algebr. Geom. Topol. 9, no. 3 (2009), 1399-1411
Given a finite connected [math] –complex with cohomological dimension 2, we show it may be constructed up to homotopy by applying the Quillen plus construction to the Cayley complex of a finite group presentation. This reduces the D(2) problem to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6bea7c2f356927cf6509bd3860af128
https://projecteuclid.org/euclid.agt/1513797033
https://projecteuclid.org/euclid.agt/1513797033