ON THE GROUP COHOMOLOGY OF THE SEMI-DIRECT PRODUCT Z ⋊ρ Z/m AND A CONJECTURE OF ADEM-GE-PAN-PETROSYAN
نویسنده
چکیده
Consider the semi-direct product Z ⋊ρ Z/m. A conjecture of Adem-Ge-Pan-Petrosyan predicts that the associated Lyndon-Hochschild-Serre spectral sequence collapses. We prove this conjecture provided that the Z/maction on Z is free outside the origin. We disprove the conjecture in general, namely, we give an example with n = 6 and m = 4, where the second differential does not vanish.
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تاریخ انتشار 2011