Whitehead groups of semidirect products of free groups II
نویسندگان
چکیده
منابع مشابه
Homology of Iterated Semidirect Products of Free Groups
Let G be a group which admits the structure of an iterated semidirect product of finitely generated free groups. We construct a finite, free resolution of the integers over the group ring of G. This resolution is used to define representations of groups which act compatibly on G, generalizing classical constructions of Magnus, Burau, and Gassner. Our construction also yields algorithms for comp...
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The spectrum of a graph is the set of eigenvalues of its adjacency matrix. A group, together with a multiset of elements of the group, gives a Cayley graph, and a semidirect product provides a method of producing new groups. This paper compares the spectra of cyclic groups to those of their semidirect products, when the products exist. It was found that many of the interesting identities that r...
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Every semidirect product of groups K oH has size |K| · |H|, yet the size of such a group’s automorphism group varies with the chosen action of H on K. This paper will explore groups of the form Aut(K oH), considering especially the case where H and K are cyclic. Only finite groups will be considered.
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In 1966, Milnor surveyed in this Bulletin [23] the concept of Whitehead torsion, focusing on the definition, topological significance and computation of Whitehead groups and their relationship to algebraic ^-theory and the congruence subgroup problem. As Milnor showed in that survey [23, Appendix 1], an affirmative solution to the congruence subgroup problem for algebraic number fields would im...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1980
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500004006