المؤلفون: Ghumashyan, Heghine, Guričan, Jaroslav

مصطلحات موضوعية: keyword:group, keyword:diassociative IP loop, keyword:Moufang loop, keyword:finite embeddability property, keyword:local embeddability, msc:05B15, msc:05C25, msc:20E25, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR4387465; zbl:Zbl 07547238; reference:[1] Baumslag, G., Solitar, D.: Some two-generator one-relator non-Hopfian groups.Bull. Am. Math. Soc. 68 (1962), 199-201. Zbl 0108.02702, MR 0142635, 10.1090/S0002-9904-1962-10745-9; reference:[2] Ceccherini-Silberstein, T., Coornaert, M.: Cellular Automata and Groups.Springer Monographs in Mathematics. Springer, Berlin (2010). Zbl 1218.37004, MR 2683112, 10.1007/978-3-642-14034-1; reference:[3] Collins, B., Dykema, K. J.: Free products of sofic groups with amalgamation over monotileably amenable groups.Münster J. Math. 4 (2011), 101-118. Zbl 1242.43003, MR 2869256; reference:[4] Drápal, A.: A simplified proof of Moufang's theorem.Proc. Am. Math. Soc. 139 (2011), 93-98. Zbl 1215.20059, MR 2729073, 10.1090/S0002-9939-2010-10501-4; reference:[5] Glebsky, L. Y., Gordon, Y. I.: On approximation of amenable groups by finite quasigroups.J. Math. Sci. 140 (2007), 369-375. Zbl 1159.43300, MR 2183215, 10.1007/s10958-007-0446-1; reference:[6] Henkin, L.: Two concepts from the theory of models.J. Symb. Log. 21 (1956), 28-32. Zbl 0071.00701, MR 0075895, 10.2307/2268482; reference:[7] Higman, G., Neumann, B. H., Neumann, H.: Embedding theorems for groups.J. Lond. Math. Soc. 24 (1949), 247-254. Zbl 0034.30101, MR 0032641, 10.1112/jlms/s1-24.4.247; reference:[8] Lyndon, R. C., Schupp, P. E.: Combinatorial Group Theory.Classics in Mathematics. Springer, Berlin (2001). Zbl 0997.20037, MR 1812024, 10.1007/978-3-642-61896-3; reference:[9] Magnus, W., Karrass, A., Solitar, D.: Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations.Dover Books on Mathematics. Dover Publications, Mineola (2004). Zbl 1130.20307, MR 2109550; reference:[10] Mal'tsev, A. I.: On a general method for obtaining local theorems in group theory.Ivanov. Gos. Ped. Inst. Uč. Zap. Fiz.-Mat. Fak. 1 (1941), 3-9 Russian. MR 0075939; reference:[11] Mal'tsev, A. I.: On homomorphisms onto finite groups.Twelve Papers in Algebra American Mathematical Society Translations: Series 2, 119. American Mathematical Society (1983), 67-79. Zbl 0511.20026, 10.1090/trans2/119; reference:[12] Meskin, S.: Nonresidually finite one-relator groups.Trans. Am. Math. Soc. 164 (1972), 105-114. Zbl 0245.20028, MR 285589, 10.2307/1995962; reference:[13] Pflugfelder, H. O.: Quasigroups and Loops: Introduction.Sigma Series in Pure Mathematics 7. Heldermann Verlag, Berlin (1990). Zbl 0715.20043, MR 1125767; reference:[14] Vershik, A. M., Gordon, E. I.: Groups that are locally embeddable in the class of finite groups.St. Petersbg. Math. J. 9 (1998), 49-67. Zbl 0898.20016, MR 1458419; reference:[15] Vodička, M., Zlatoš, P.: The finite embeddability property for IP loops and local embeddability of groups into finite IP loops.Ars Math. Contemp. 17 (2019), 535-554. Zbl 1442.20040, MR 4041359, 10.26493/1855-3974.1884.5cb; reference:[16] Weiss, B.: Monotileable amenable groups.Topology, Ergodic Theory, Real Algebraic Geometry: Rokhlin's Memorial American Mathematical Society Translations: Series 2, 202. American Mathematical Society (2001), 257-262. Zbl 0982.22004, MR 1819193, 10.1090/trans2/202/18; reference:[17] Ziman, M.: Extensions of Latin subsquares and local embeddability of groups and group algebras.Quasigroups Relat. Syst. 11 (2004), 115-125. Zbl 1060.20057, MR 2064165

الاتاحة: http://hdl.handle.net/10338.dmlcz/149595

المؤلفون: Drápal, Aleš

مصطلحات موضوعية: keyword:dihedral group, keyword:Moufang loop, keyword:cyclic extension, keyword:semidirect product, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR3583301; zbl:Zbl 1374.20069; reference:[1] Chein O.: Moufang loops of small order, I.Trans. Amer. Math. Soc. 188 (1974), 31–51. Zbl 0286.20088, MR 0330336, 10.1090/S0002-9947-1974-0330336-3; reference:[2] Chein O.: Moufang loops of small order.Mem. Amer. Math. Soc. 13 (1978), no. 197. Zbl 0378.20053, MR 0466391; reference:[3] Drápal A.: On extensions of Moufang loops by a cyclic factor that is coprime to three.Comm. Algebra, (in print) http://dx.doi.org/10.1080/00927872.2016.1233202. 10.1080/00927872.2016.1233202; reference:[4] Gagola S.M., III: Cyclic extensions of Moufang loops induced by semi-automorphisms.J. Algebra Appl. 13 (2014), no. 4, Article ID 1350128. Zbl 1296.20028, MR 3153863, 10.1142/S0219498813501284; reference:[5] Gagola S.hM., III: Describing cyclic extensions of Bol loops.Quasigroups and Related Systems 23 (2015), 31–39. Zbl 1328.20084, MR 3353111; reference:[6] Goodaire E.R., May S., Raman M.: The Moufang Loops of Order Less Than 64.Nova Science Publishers, Inc., Commack, NY, 1999. Zbl 0964.20043, MR 1689624

الاتاحة: http://hdl.handle.net/10338.dmlcz/145952

المؤلفون: Gagola III, Stephen

مصطلحات موضوعية: keyword:F-quasigroup, keyword:NK-loop, keyword:Moufang loop, msc:20E10, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR3017836; zbl:Zbl 1257.20068; reference:[1] Belousov V.D.: About one quasigroup class.Uchenye Zapiski Beltskogo Gospedinstituta im. A. Russo, \bf 5 \rm (1960), 29–44 (in Russian).; reference:[2] Bol G.: Gewebe und Gruppen.Math. Ann. 114 (1937), no. 1, 414–431. Zbl 0016.22603, MR 1513147, 10.1007/BF01594185; reference:[3] Bruck R.H.: A Survey of Binary Systems.Springer, New York, 1971. Zbl 0141.01401, MR 0093552; reference:[4] Gagola S.M. III: A Moufang loop's commutant.Proc. Cambridge Phil. Soc. 152 (2012), no. 2, 193–206. MR 2887872; reference:[5] Gagola S.M. III: The number of Sylow $p$-subloops in finite Moufang loops.Comm. Algebra 38 (2010), no. 4, 1436–1448. MR 2656586, 10.1080/00927870902950647; reference:[6] Kepka T., Bénéteau L., Lacaze J.: Small finite trimedial quasigroups.Comm. Algebra 14 (1986), no. 6, 1067–1090. Zbl 0606.20061, MR 0837271, 10.1080/00927878608823353; reference:[7] Kepka T., Kinyon M.K., Phillips J.D.: F-quasigroups and generalized modules.Comment. Math. Univ. Carolin. 49 (2008), no. 2, 249–257. MR 2426889; reference:[8] Kepka T., Kinyon M.K., Phillips J.D.: The structure of F-quasigroups.J. Algebra 317 (2007), no. 2, 435–461. Zbl 1133.20051, MR 2362925, 10.1016/j.jalgebra.2007.05.007; reference:[9] Kepka T., Němec P.: Commutative Moufang loops and distributive groupoids of small orders.Czechoslovak Math. J. 31 (106) (1981), no. 4, 633–669. Zbl 0573.20065, MR 0631607; reference:[10] Murdoch D.C.: Quasi-groups which satisfy certain generalized associative laws.Amer. J. Math. 61 (1939), 509–522. Zbl 0020.34702, MR 1507391, 10.2307/2371517; reference:[11] Pflugfelder H.O.: Quasigroups and Loops: Introduction.Sigma Series in Pure Mathematics, 7, Heldermann, Berlin, 1990. Zbl 0715.20043, MR 1125767

الاتاحة: http://hdl.handle.net/10338.dmlcz/142930

المؤلفون: Kepka, Tomáš, Kinyon, Michael K., Phillips, J. D.

مصطلحات موضوعية: keyword:F-quasigroup, keyword:Moufang loop, keyword:generalized modules, msc:16Y99, msc:17A30, msc:20N05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/140106

المؤلفون: Hall, J. I.

مصطلحات موضوعية: keyword:Bol loop, keyword:Moufang loop, keyword:autotopism group, keyword:group with triality, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR2682477; zbl:Zbl 1211.20059; reference:[1] Bruck R.H.: A Survey of Binary Systems.Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 20, Springer, Berlin-Göttingen-Heidelberg, 1958. Zbl 0141.01401, MR 0093552; reference:[2] Doro S.: Simple Moufang loops.Math. Proc. Cambridge Philos. Soc. 83 (1978), 377–392. Zbl 0381.20054, MR 0492031, 10.1017/S0305004100054669; reference:[3] Grishkov A.N., Zavarnitsine A.V.: Groups with triality.J. Algebra Appl. 5 (2006), 441–463. Zbl 1110.20023, MR 2239539, 10.1142/S021949880600182X; reference:[4] Hall J.I.: Moufang loops and groups with triality are essentially the same thing.submitted.; reference:[5] Mikheev P.O.: Enveloping groups of Moufang loops.Uspekhi Mat. Nauk 48 (1993), 191–192; translation in Russian Math. Surveys 48 (1993), 195–196. Zbl 0806.20059, MR 1239875; reference:[6] Pflugfelder H.O.: Quasigroups and Loops: Introduction.Sigma Series in Pure Mathematics, 7, Heldermann, Berlin, 1990. Zbl 0715.20043, MR 1125767

الاتاحة: http://hdl.handle.net/10338.dmlcz/140103

المؤلفون: Giuliani, Maria de Lourdes M., Johnson, Kenneth W.

مصطلحات موضوعية: keyword:Moufang loop, keyword:Prover9, msc:20-04, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR2682474; zbl:Zbl 1211.20058; reference:[1] Zhevlakov K.A., Slin'ko A.M., Shestakov I.P., Shirshov A.I.: Rings That Are Nearly Associative.Pure and Applied Mathematics, 104, Academic Press, New York-London, 1982. Zbl 0487.17001, MR 0668355; reference:[2] Johnson K.W., Vojtěchovský P.: Right division in groups, Dedekind-Frobenius group matrices, and Ward quasigroups.Abh. Math. Sem. Univ. Hamburg 75 (2005), 121–136. MR 2187582, 10.1007/BF02942039; reference:[3] McCune W.W.: Prover$9$, automated reasoning software, and Mace$4$, finite model builder.Argonne National Laboratory, 2005, http://www.prover9.org.

الاتاحة: http://hdl.handle.net/10338.dmlcz/140100

المؤلفون: Phillips, J. D., Vojtěchovský, Petr

مصطلحات موضوعية: keyword:inverse property loop, keyword:Bol loop, keyword:Moufang loop, keyword:C-loop, keyword:equational basis, keyword:magma with inverses, msc:03C05, msc:20A05, msc:20N05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119722

المؤلفون: Rajah, Andrew, Chong, Kam-Yoon

مصطلحات موضوعية: keyword:Moufang loop, keyword:order, keyword:nonassociative, msc:20N05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119724

المؤلفون: Kepka, Tomáš, Kinyon, Michael K., Phillips, J. D.

مصطلحات موضوعية: keyword:F-quasigroup, keyword:Moufang loop, keyword:generalized modules, msc:16Y99, msc:17A30, msc:20N05

وصف الملف: application/pdf

Relation: mr:MR2426889; zbl:Zbl 1192.20055; reference:[1] Bruck R.H.: A Survey of Binary Systems.Springer, 1971. Zbl 0141.01401, MR 0093552; reference:[2] Bruck R.H., Paige L.: Loops in which every inner mapping is an automorphism.Ann. of Math. 63 (1956), 308-323. MR 0076779, 10.2307/1969612; reference:[3] Kepka T., Kinyon M.K., Phillips J.D.: The structure of F-quasigroups.J. Algebra 317 (2007), 435-461. Zbl 1133.20051, MR 2362925, 10.1016/j.jalgebra.2007.05.007; reference:[4] Moufang R.: Zur Struktur von Alternativkörpern.Math. Ann. 110 (1935), 416-430. MR 1512948, 10.1007/BF01448037; reference:[5] Pflugfelder H.O.: Quasigroups and Loops: Introduction.Helderman, Berlin, 1990. Zbl 0715.20043, MR 1125767

الاتاحة: http://hdl.handle.net/10338.dmlcz/119719

المؤلفون: Paal, Eugen

مصطلحات موضوعية: keyword:Moufang loop, keyword:Mal'tsev algebra, keyword:generalized Maurer-Cartan equations, keyword:triality, msc:17D10, msc:20N05, msc:22A30

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119463

المؤلفون: Chein, Orin, Rajah, Andrew

مصطلحات موضوعية: keyword:Moufang loop, keyword:order, keyword:nonassociative, msc:20N05

وصف الملف: application/pdf

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الاتاحة: http://hdl.handle.net/10338.dmlcz/119159