ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 201-210

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is a further investigation on the 2-nilpotent multiplier, $\mathcal{M}$(2)(G), when G is a non-abelian p-group. Furthermore, taking G in the class of extra-special p-groups, we will get the explicit structure of $\mathcal{M}$(2)(G) and will classify 2-capable groups in that class.
DOI : 10.1017/S0017089514000263
Mots-clés : 20C25, 20D15
NIROOMAND, PEYMAN; PARVIZI, MOHSEN. ON THE 2-NILPOTENT MULTIPLIER OF FINITE p-GROUPS. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 201-210. doi: 10.1017/S0017089514000263
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[1] 1.Baer, R., Representations of groups as quotient groups, I, II, and III, Trans. Am. Math. Soc. 58 (1945), 295–419. Google Scholar

[2] 2.Berkovich, Ya. G., On the order of the commutator subgroups and the Schur multiplier of a finite p-group, J. Algebra 144 (1991), 269–272. Google Scholar | DOI

[3] 3.Beyl, F. R., Felgner, U. and Schmid, P., On groups occurring as center factor groups, J. Algebra 61 (1979), 161–177. Google Scholar

[4] 4.Brown, R., Johnson, D. L. and Robertson, E. F., Some computations of non-abelian tensor products of groups, J. Algebra 111 (1987), 177–202. Google Scholar

[5] 5.Brown, R. and Loday, J.-L., Van Kampen theorems for diagrams of spaces, Topology 26 (1987), 311–335. Google Scholar

[6] 6.Burns, J. and Ellis, G., On the nilpotent multipliers of a group, Math. Z. 226 (1997), 405–428. Google Scholar

[7] 7.Burns, J. and Ellis, G., Inequalities for Baer invariants of finite groups, Can. Math. Bull. 41 (4) (1998), 385–391. Google Scholar

[8] 8.Ellis, G., Tensor products and q-crossed modules, J. London Math. Soc. 51 (2) (1995), 243–258. Google Scholar

[9] 9.Ellis, G., On the Schur multiplier of p-groups, Commun. Algebra 9 (1999), 4173–4177. Google Scholar

[10] 10.Ellis, G. and Wiegold, J., A bound on the Schur multiplier of a prime power group, Bull. Aust. Math. Soc. 60 (1999), 191–196. Google Scholar | DOI

[11] 11.Hall, P., The classification of prime-power groups, J. Reine Angew. Math. 182 (1940), 130–141. Google Scholar

[12] 12.Hall, P., Verbal and marginal subgroups, J. Reine Angew. Math. 182 (1940), 156–157. Google Scholar

[13] 13.Jones, M. R., Multiplicators of p-groups, Math. Z. 127 (1972), 165–166. Google Scholar

[14] 14.Jones, M. R., Some inequalities for the multiplicator of a finite group, Proc. Am. Math. Soc. 39 (1973), 450–456. Google Scholar

[15] 15.Karpilovsky, G., The Schur multiplier, London Math. Soc. Monographs, New Ser., Vol. 2 (Clarendon Press, Oxford, 1987). Google Scholar

[16] 16.Lue, A. S.-T., The Ganea map for nilpotent groups, J. London Math. Soc. 14 (1976), 309–312. Google Scholar | DOI

[17] 17.Mashayekhy, B. and Moghaddam, M. R. R., Higher Schur multiplicator of a finite abelian group, Algebra Colloq. 4 (3) (1997), 317–322. Google Scholar

[18] 18.Mashayekhy, B. and Sanati, M. A., On the order of nilpotent multipliers of finite p-groups, Commun. Algebra 33 (7) (2005), 2079–2087. Google Scholar

[19] 19.Moghaddam, M. R. R., Some inequalities for the Baer invariant of a finite group, Bull. Iran. Math. Soc. 9 (1981), 5–10. Google Scholar

[20] 20.Moghaddam, M. R. R., On the Schur-Baer property, J. Aust. Math. Soc. Ser. A 31 (1981), 343–361. Google Scholar

[21] 21.Moghaddam, M. R. R., The Baer invariant of a direct product, Arch. Math. 33 (1980), 504–511. Google Scholar

[22] 22.Niroomand, P., On the order of Schur multiplier of non-abelian p-groups, J. Algebra 322 (2009), 4479–4482. Google Scholar | DOI

[23] 23.Niroomand, P., The Schur multiplier of p-groups with large derived subgroup, Arch. Math. 95 (2010), 101–103. Google Scholar | DOI

[24] 24.Zhou, X., On the order of Schur multipliers of finite p-groups, Commun. Algebra 1 (1994), 1–8. Google Scholar

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