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- W1968809318 abstract "For odd primes p , we examine H ̂ ∗ (Aut(F 2(p−1) ); Z (p) ) , the Farrell cohomology of the group of automorphisms of a free group F 2( p −1) on 2( P −1) generators, with coefficients in the integers localized at the prime (p)⊂ Z . This extends results by Glover and Mislin (J. Pure Appl. Algebra 150 (2) (2000)), whose calculations yield H ̂ ∗ (Aut(F n ); Z (p) ) for n ∈{ p −1, p } and is concurrent with work by Chen (Farrell cohomology of automorphism groups of free groups of finite rank, Ohio State University Ph.D. Dissertation, Columbus, Ohio, 1998) where he calculates H ̂ ∗ (Aut(F n ); Z (p) ) for n ∈{ p +1, p +2}. The main tools used are Ken Brown's “normalizer spectral sequence” (Brown, Cohomology of Groups, Springer, Berlin, 1982), a modification of Krstic and Vogtmann's (Comment. Math. Helv. 68 (1993) 216–262) proof of the contractibility of fixed point sets for outer space, and a modification of the Degree Theorem of Hatcher and Vogtmann (J. London Math. Soc. (2) 58 (3)(1998) 633–655)." @default.
- W1968809318 created "2016-06-24" @default.
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- W1968809318 date "2001-04-01" @default.
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- W1968809318 title "Cohomology of Aut(Fn) in the p-rank two case" @default.
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- W1968809318 doi "https://doi.org/10.1016/s0022-4049(00)00028-1" @default.
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