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The cohomology rings of finite groups with semi-dihedral Sylow 2-subgroups

Published online by Cambridge University Press:  17 April 2009

Angelina Chin
Angelina Chin
Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072, Australia
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Abstract

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In this paper we determine the mod-2 cohomology rings and the 2-primary part of the integral cohomology rings of finite groups with semi-dihedral Sylow 2-subgroups. The method used here is algebraic and can be considered as elementary.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 421 - 432
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Asai, T. and Sasaki, H., ‘The mod 2 cohomology algebras of finite groups with dihedral Sylow 2-subgroups’, Comm. Algebra 21 (1993), 2771–2790.CrossRefGoogle Scholar
[2]Cárdenas, H. and Lluis, E., ‘On the integral cohomology of a Sylow subgroup of the symmetric group’, Comm. Algebra 18 (1990), 105–134.CrossRefGoogle Scholar
[3]Evens, L. and Priddy, S., ‘The cohomology of the semi-dihedral group’, in Conference on Algebraic Topology in Honour of P. Hilton, (Piccinini, R. and Sjerve, D., Editors), Contemporary Mathematics Vol. 37 (American Mathematical Society, Providence, RI, 1985), pp. 61–72.CrossRefGoogle Scholar
[4]Martino, J., Stable splittings of the Sylow 2-subgroups of SL3(Fq), q odd, Thesis (Northwestern University, 1988).Google Scholar
[5]Webb, P., ‘Two classifications of simple Mackey functors with applications to group cohomology and the decomposition of classifying spaces’, J. Pure Appl. Algebra 88 (1993), 265–304.CrossRefGoogle Scholar