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Categorical equivalence of finite groups

Published online by Cambridge University Press:  17 April 2009

László Zádori
László Zádori
Affiliation:
JATE, Bolyai IntézetAradi vértanúk tere 1H-6720 SzegedHungary
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Abstract

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We determine the minimal relational sets related to finite groups. With the help of this result we prove that two categorically equivalent finite groups are weakly isomorphic.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 403 - 408
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Bergman, C. and Berman, J., ‘Morita equivalence of almost-primal clones’, J. Pure Appl. Algebra 108 (1996), 175–201.CrossRefGoogle Scholar
[2]Hulanicki, A. and Świerzkowski, , ‘On group operations other than xy or yx’, Publ. Math. Debrecen 9 (1962), 142–148.CrossRefGoogle Scholar
[3]Lüders, O., ‘Category equivalence and relational clones’, (preprint, 1996).Google Scholar
[4]McKenzie, R.N., ‘An algebraic version of categorical equivalence for varieties and more general algebraic categories’, in Logic and Algebra (Pontignano, 1994), (Ursini, A. and Aglianò, P., Editors), Lecture Notes in Pure and Applied Mathematics 180 (Marcel Dekker, New York, 1996), pp. 211–243.Google Scholar
[5]Suzuki, M., ‘Structure of a group and the structure of its lattice of subgroups’ (Springer-Verlag, Berlin, Heidelberg, New York).Google Scholar
[6]Zadori, L., ‘Relational sets and categorical equivalence of algebras’, Internat. J. Algebra Comput. (1996) (to appear).Google Scholar