Varieties of soluble groups
نویسندگان
چکیده
منابع مشابه
Inaccessible Varieties of Groups
A weak but still unsolved version of the first half of Problem 7 in Hanna Neumann's book [5] asks whether the product 1193 of a nontrivial join-irreducible variety VL and an arbitrary variety 93 is necessarily also join-irreducible. One of the results of this paper is a positive answer provided either It is abelian or the infiniterank free groups of IX have no nontrivial abelian verbal subgroup...
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Given a root datum (Y,X, . . . ) and an odd integer l G.Lusztig defined a finite-dimensional Hopf algebra u over the cyclotomic field k := Q(ξ) where ξ is a primitive l−th root of unity, see [Lu1]. Suppose that l > h where h is the Coxeter number of the split reductive Lie algebra g over k associated to the root datum (Y,X, . . . ). In this case the cohomology H(u, k) of algebra u with trivial ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1972
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700044361