Knit products of some groups and their applications
Ates, Firat ; Çevik, A. Sinan
Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009), p. 1-11 / Harvested from Numdam
Publié le : 2009-01-01
@article{RSMUP_2009__121__1_0,
     author = {Ates, Firat and \c Cevik, A. Sinan},
     title = {Knit products of some groups and their applications},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {122},
     year = {2009},
     pages = {1-11},
     mrnumber = {2542131},
     zbl = {1186.20022},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2009__121__1_0}
}
Ates, Firat; Çevik, A. Sinan. Knit products of some groups and their applications. Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009) pp. 1-11. http://gdmltest.u-ga.fr/item/RSMUP_2009__121__1_0/

[1] R. B. J. T. Allenby - R. J. Gregorac, On locally extended residually finite groups in ``Conference on Group Theory, University of Wisconsin 1972'', Lecture Notes in Mathematics, Vol. 319 (Springer-Verlag, Berlin-New York, 1973), pp. 9-17. | MR 382450 | Zbl 0263.20020

[2] M. G. Brin, On the Zappa-Szep product, Comm. Algebra 33 (2005), pp. 393-424. | MR 2124335 | Zbl 1078.20062

[3] K. S. Brown, Cohomology of Groups, Springer-Verlag, 87, 1987. | Zbl 0584.20036

[4] R. G. Burns - A. Karrass - D. Solitar, A note on groups with separable finitely generated subgroups, Bull. Aust. Math. Soc., 36 (1987), pp. 153-160. | MR 897431 | Zbl 0613.20018

[5] D. J. Collins - E. C. Turner, All automorphisms of free groups with maximal rank fixed subgroups, Math. Proc. Cambridge Philos. Soc., 119 (1996), pp. 615-630. | MR 1362943 | Zbl 0849.20018

[6] A. S. Çevik, The efficiency of standard wreath products, Proc. of Edinburgh Math. Soc., 43 (2000), pp. 415-423. | MR 1762899 | Zbl 0952.20021

[7] A. S. Çevik, The p-Cockcroft property of semidirect products of monoids, Int. J. Alg. and Compt., 13, 1 (2003), pp. 1-16. | MR 1970864 | Zbl 1071.20049

[8] A. S. Çevik - N. Y. Özgür - R. Sahin, The extended Hecke groups as a semidirect product and related results, Inter. J. of Applied Math. and Statistics, 13 (S08), (September 2008), pp. 63-72. | MR 2379391

[9] D. B. A. Epstein, Finite presentations of groups and 3-manifolds, Quart. J. Math. Oxford Ser (2), 12 (1961), pp. 205-212. | MR 144321 | Zbl 0231.55003

[10] S. M. Gersten, Selected problems in Combinatorial Group Theory and Topology (S. M. Gersten and J. R. Stallings, Eds.), Annals Mathematics Studies, 111, Princeton Univ. Press, Princeton, 1987. | MR 895606 | Zbl 0616.20015

[11] S. Huang, Generalized Hecke groups and Hecke polygons, Ann. Acad. Sci. Fenn. Math., 24 (1999), pp. 187-214. | MR 1678040 | Zbl 0926.30026

[12] G. Karpilovsky, The Schur Multiplier, LMS Monograms New Series 2, Oxford Science Publications, 1987. | MR 1200015 | Zbl 0619.20001

[13] V. Metaftsis - E. Raptis, Subgroup separability of HNN-Extensions with abelian base group, Journal of Algebra, 245 (2001), pp. 42-49. | MR 1868182 | Zbl 0999.20018

[14] P. W. Michor, Knit products of graded Lie algebras and groups, Suppl. Rendiconti Circolo Matematico di Palermo Ser. II, 22 (1989), pp. 171-175. | MR 1061798 | Zbl 0954.17508

[15] S. A. Park, Projective representations of some finite groups, J. Korean Math. Soc., 22 (1985), pp. 173-180. | MR 826442 | Zbl 0583.20010

[16] P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc., 17 (1978), pp. 555-565. | MR 494062 | Zbl 0412.57006

[17] R. Sahin-S. Ikikardes-O. Koruoglu,Some normal subgroups of the extended Hecke groups H(lp), Rocky Mountain J. Math., 36, 3 (2006), pp. 1033-1048. | MR 2254377 | Zbl 1139.20042

[18] J. Szep, On the structure of groups which can be represented as the product of two subgroups, Acta Sci. Math. Szeged, 12 (1950), pp. 57-61. | MR 37296 | Zbl 0038.01601

[19] J. W. Wamsley, Minimal presentations for finite groups, Bull. London Math. Soc., 5 (1973), pp. 129-144. | MR 333005 | Zbl 0272.20028

[20] G. Zappa, Sulla costruzione dei gruppi prodotto di due dati sottogruppi permutabili tra loro, Atti Secondo Congresso Un. Mat. Ital., Bologna, 1940, Edizioni Cremonense (Rome 1942), pp. 119-125. | MR 19090 | Zbl 0026.29104