The Consistency of Holt's Conjectures on Cohomological Dimension of Locally Finite Groups |
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| Authors: | Kropholler P H; Thomas S |
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| Institution: | School of Mathematical Sciences, Queen Mary and Westfield College Mile End Road, London E1 4NS, UK
Department of Mathematics, Rutgers University New Brunswick, New Jersey 08903, USA |
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| Abstract: | Let G be a locally finite group of cardinality  n where n isa natural number. Let  (G) be the set of primes p for which Ghas an element of order p. In 5], Holt conjectures that ifk is a finite field with char k  (G) then (1) G has cohomological dimension n+1 over k; (2) Hn+1(G, kG) has cardinality 2n; (3) Hi(G, kG) = 0 for 0  i n. |
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