Localization and genus in group theory
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- by G. Peschke PDF
- Trans. Amer. Math. Soc. 347 (1995), 155-174 Request permission
Abstract:
We provide a unifying category theoretical framework to discuss various kinds of local global phenomena. Specializing to localization of groups at sets of primes $P$, we identify a large class of groups for which localization supports a passage from local information to global information. Local global principles for groups in this class are established and used to calculate certain homomorphism sets as well as splittings of epimorphisms and monomorphisms from local data.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 155-174
- MSC: Primary 20J15; Secondary 18A40, 55P60
- DOI: https://doi.org/10.1090/S0002-9947-1995-1270668-1
- MathSciNet review: 1270668