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Extensions of Homomorphisms of Parabolic Subgroups

Published online by Cambridge University Press:  20 November 2018

Edward N. Wilson
Edward N. Wilson*
Affiliation:
Brandeis University, Waltham, Massachusetts
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If one wishes to construct a homomorphism of a group, an obvious approach is to begin with a homomorphism of a subgroup and attempt to extend it in some way. Any such extended homomorphism is determined by its action on elements of the group which, together with the subgroup, generate the whole group. The values assigned to such generators must then satisfy various functional equations. By a governing list for the extension problem, we shall mean a list of functional equations whose solutions describe all possible homomorphisms extending a given subgroup homomorphism.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 5 , October 1972 , pp. 947 - 956
Copyright
Copyright © Canadian Mathematical Society 1972

References

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