Discrete groups with large exponents in cohomology
نویسندگان
چکیده
منابع مشابه
Exponents and the Cohomology of Finite Groups
We will provide an example of a p-group G which has elements of order p in some of its integral cohomology groups but which also has the property that p annihilates H̄(G;Z) for all sufficiently high i. This provides a counterexample to a conjecture of A. Adem which stated that if a finite group K has an element of order p in one of its integral cohomology groups then it has such an element in in...
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Let G be a finite group and let r be the maximum of the p-ranks of G for all primes p dividing the order to G. There exist positive integers m and n such that the exponents of Hn(G,Z) and Hm(G, Z) are greater than Suppose that G is a finite group. It has long been known that the exponent of Hn(G, Z) divides |G|, the order of G, for all n > 0. Beyond this fact very little has been established co...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1990
ISSN: 0022-4049
DOI: 10.1016/0022-4049(90)90081-r