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Your search keyword '"Costoya, Cristina"' showing total 2 results
Start Over Author "Costoya, Cristina" Topic group theory
2 results on '"Costoya, Cristina"'

1. FAITHFUL ACTIONS ON COMMUTATIVE DIFFERENTIAL GRADED ALGEBRAS AND THE GROUP ISOMORPHISM PROBLEM.

Author

Costoya, Cristina and Viruel, Antonio

Subjects
*COMMUTATIVE algebra, *DIFFERENTIAL algebra, *ISOMORPHISM (Mathematics), *GROUP theory, *FINITE groups
Abstract

We prove that the isomorphism type of a large class of groups is determined by the class of differential graded algebras over an integral domain with mild conditions, on which these groups act faithfully. [ABSTRACT FROM PUBLISHER]

Published
2014
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2. Every finite group is the group of self-homotopy equivalences of an elliptic space.

Author

Costoya, Cristina and Viruel, Antonio

Subjects
*GROUP theory, *FINITE groups, *HOMOTOPY equivalences, *ELLIPTIC space, *MANIFOLDS (Mathematics)
Abstract

We prove that every finite group G can be realized as the group of self-homotopy equivalences of infinitely many elliptic spaces X. To construct those spaces we introduce a new technique which leads, for example, to the existence of infinitely many inflexible manifolds. Further applications to representation theory will appear in a separate paper. [ABSTRACT FROM AUTHOR]

Published
2014
Full Text
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