Cite

[AC09] ANDERSON, D. D.-CAMILLO, V.: Subgroups of direct products of groups, ideals and subrings of direct products of rings, and Goursat’s lemma, in: Internat.Search in Google Scholar

Conference on Rings and Things in honor of C. Faith and B. Osofsky (N. V. Dung et al., eds.), Zanesville, OH, USA, 2007, Contemp. Math., Vol. 480, Amer. Math.Search in Google Scholar

Soc., Providence, RI, 2009, pp. 1-12.Search in Google Scholar

[AEM09] ARROYO, C.-EGGLESTON, S.-MACGREGOR, B.: Applications and generalizations of Goursat’s lemma, 2009, http://www.slideshare.net/dadirac/goursats-lemma-presentation-2411944Search in Google Scholar

[Baer40] BAER, R.: Sylow theorems for infinite groups, Duke J. Math. 6 (1940), 518-614.Search in Google Scholar

[CLP93] CARBONI, A.-KELLY, G. M.-PEDIICCHIO, M. C.: Some remarks on Mal’- tsev and Goursat categories, Appl. Categ. Structures 1 (1993), 385-421.10.1007/BF00872942Search in Google Scholar

[Dic69] DICKSON, S. E.: On algebras of finite representation type, Trans. Amer. Math. Soc. 135 (1969), 127-141.10.1090/S0002-9947-1969-0237558-9Search in Google Scholar

[DKU38] DIEMAN, A. P.-KUROSH, A. G.-UZKOV, A. L.: Sylowsche Untergruppen von unendlichen Gruppen, Mat. Sb. 3 (1938), 179-185.Search in Google Scholar

[Dir1837] DIRICHLET, P. G. L.: Beweis des Satzes, dass jede unbegrenzte arithmetische Progression, deren erstes Glied und Differenz ganze Zahlen ohne gemeinschaftlichen Factor sind, unenlich viele Primzahlen enthält, Abhang. Ak. Wiss.Search in Google Scholar

Berlin 48 (1837), 45-81.Search in Google Scholar

[FL10] FARRILL, J. F.-LACK, S.: For which categories does one have a Goursat lemma?, 2010, http://mathoverflow.net/questions/46700/for-whichcategories-does-one-have-a-goursat-lemmaSearch in Google Scholar

[Gou89] GOURSAT, É.: Sur les substitutions orthogonales et les divisions régulières de l’espace, Ann. Sci. École Norm. Sup. (3) 6 (1889), 9-102.10.24033/asens.317Search in Google Scholar

[Gre09] GREICIUS, A.: Elliptic curves with surjective adelic Galois representations, arXiv:0901.2513v1, 2009.Search in Google Scholar

[Hall59] HALL, M., JR.: The Theory of Groups. Macmillan, New York, 1959.10.4159/harvard.9780674592711Search in Google Scholar

[Hat61] HATTORI, A.: On 3-dimensional elliptic space forms, Sūgaku 12 (1960/1961), 164-167.Search in Google Scholar

[HZ09] HATTORI, A.-MARTINS, L.-MASSAGO, S.-MIMURA, M.-ZVENGROWSKI, P.: Three-dimensional spherical space forms, in: Group Actions and Homogeneous Spaces (J. Korbaš et al., eds.), Proc. of the Internat. Conf., Bratislava Topology Symposium, Univ. Komenskho, Fakulta Matematiky, Fyziky a Informatiky, Bratislava, 2010, pp. 29-42.Search in Google Scholar

[Lam58] LAMBEK, J.: Goursat’s theorem and the Zassenhaus lemma, Canad. J. Math. 10 (1958), 45-56.10.4153/CJM-1958-005-6Search in Google Scholar

[Lam76] , Lectures on Rings and Modules (2nd ed.). Chelsea Publishing Co., New York, 1976.Search in Google Scholar

[Lan02] LANG, S.: Algebra (3rd ed.), in: Grad. Texts in Math., Vol. 211, Springer-Verlag, New York, 2002.Search in Google Scholar

[Mac71] MACLANE, S.: Categories for the Working Mathematician, in: Grad. Texts in Math., Vol. 5, Springer-Verlag, New York, 1971.Search in Google Scholar

[Neu67] NEUMANN, H.: Varieties of Groups, in: Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 37, Springer-Verlag, New York, 1967.Search in Google Scholar

[Pet09] PETRILLO, J.: Goursat’s other theorem, College Math. J. 40 (2009), 119-124. [Pet11] , Counting subgroups in a direct product of finite cyclic groups, College Math. J. 42 (2011), 215-222.10.4169/college.math.j.42.3.215Search in Google Scholar

[Ram-Val99] RAMAKRISHNAN, D.-VALENZA, R. J.: Fourier Anaalysis on Number Fields, in: Grad. Texts in Math., Vol. 186, Springer-Verlag, New York, 1999.10.1007/978-1-4757-3085-2Search in Google Scholar

[Rib76] RIBET, K. A.: Galois action on division points of abelian varieties with real multiplications, Amer. J. Math. 98 (1976), 751-804.10.2307/2373815Search in Google Scholar

[Rob82] ROBINSON, D.: A Course in the Theory of Groups, in: Grad. Texts in Math., Vol. 80, Springer-Verlag, New York, 1982.Search in Google Scholar

[Rot95] ROTMAN, J.: An Introduction to the Theory of Groups (4th ed.), in: Grad. Texts in Math., Vol. 148, Springer-Verlag, New York, 1995.10.1007/978-1-4612-4176-8Search in Google Scholar

[Sch94] SCHMIDT, R.: Subgroup Lattices of Groups, in: de Gruyter Exp. Math., Vol. 14, Walter de Gruyter & Co., Berlin, 1994.10.1515/9783110868647Search in Google Scholar

[T´oth14] TÓTH, L.: Subgroups of finite Abelian groups having rank two via Goursat’s Lemma, Tatra Mt. Math. Publ. 59 (2014), 93-103. [Use91] USENKO, V. M.: Subgroups of semidirect products, Ukrain.Mat. Zh. 43 (1991), 1048-1055. Search in Google Scholar

eISSN:
1210-3195
Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics