Clifford theory on the Burnside ring

1996 ◽  
Vol 67 (3) ◽  
pp. 183-191 ◽  
Author(s):  
I. Lizasoain ◽  
G. Ochoa
Keyword(s):  
Burnside Ring ◽  
Clifford Theory

scholarly journals Lifting idempotents and Clifford theory

1983 ◽  
Vol 58 (1) ◽  
pp. 86-95 ◽  
Author(s):  
Jacques Thévenaz
Keyword(s):  
Clifford Theory

scholarly journals Clifford theory and Galois theory, I

2008 ◽  
Vol 319 (2) ◽  
pp. 779-799 ◽  
Author(s):  
Everett C. Dade
Keyword(s):  
Galois Theory ◽  
Clifford Theory

Stable cohomotopy and cobordism of abelian groups

1981 ◽  
Vol 90 (2) ◽  
pp. 273-278 ◽  
Author(s):  
C. T. Stretch
Keyword(s):  
Abelian Group ◽  
Abelian Groups ◽  
Finite Abelian Group ◽  
Formal Group ◽  
Characteristic Class ◽  
Burnside Ring ◽  
Classifying Space ◽  
Formal Group Law ◽  
Stable Cohomotopy ◽  
Group Law

The object of this paper is to prove that for a finite abelian group G the natural map is injective, where Â(G) is the completion of the Burnside ring of G and σ0(BG) is the stable cohomotopy of the classifying space BG of G. The map â is detected by means of an M U* exponential characteristic class for permutation representations constructed in (11). The result is a generalization of a theorem of Laitinen (4) which treats elementary abelian groups using ordinary cohomology. One interesting feature of the present proof is that it makes explicit use of the universality of the formal group law of M U*. It also involves a computation of M U*(BG) in terms of the formal group law. This may be of independent interest. Since writing the paper the author has discovered that M U*(BG) has previously been calculated by Land-weber(5).

scholarly journals Clifford Theory for Glider Representations

2016 ◽  
Vol 19 (6) ◽  
pp. 1477-1493 ◽  
Author(s):  
Frederik Caenepeel ◽  
Fred Van Oystaeyen
Keyword(s):  
Clifford Theory

scholarly journals A collection of subgroups for the generalized Burnside ring

2009 ◽  
Vol 222 (1) ◽  
pp. 307-317 ◽  
Author(s):  
Fumihito Oda ◽  
Masato Sawabe
Keyword(s):  
Burnside Ring

scholarly journals On classical Clifford theory

1988 ◽  
Vol 309 (2) ◽  
pp. 831-831 ◽  
Author(s):  
Morton E. Harris
Keyword(s):  
Clifford Theory

Clifford theory for subgroups of grading groups

1993 ◽  
Vol 21 (7) ◽  
pp. 2583-2595
Author(s):  
C. Nǎtǎsescu ◽  
F. Van Oystaeyen
Keyword(s):  
Clifford Theory
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