Some inequalities for the multiplicator of a finite group. II

Jones, Michael R.

doi:10.1090/S0002-9939-1974-0352254-2

Some inequalities for the multiplicator of a finite group. II
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Proc. Amer. Math. Soc. 45 (1974), 167-172 Request permission

Abstract:

In a previous article of the same title we gave a series of upper and lower bounds for the multiplicator of a finite group. §2 of this article gives an improvement of one of these results. In §3, we give a result that connects the multiplicator of a finite group with that of a normal subgroup whose factor-group is cyclic.

References

B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
Michael R. Jones, Multiplicators of $p$-groups, Math. Z. 127 (1972), 165–166. MR 318304, DOI 10.1007/BF01112608
Michael R. Jones, Some inequalities for the multiplicator of a finite group, Proc. Amer. Math. Soc. 39 (1973), 450–456. MR 314975, DOI 10.1090/S0002-9939-1973-0314975-6
Michael R. Jones and James Wiegold, A subgroup theorem for multipliers, J. London Math. Soc. (2) 6 (1973), 738. MR 327931, DOI 10.1112/jlms/s2-6.4.738

Über die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen

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Untersuchungen über die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionen

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L. R. Vermani, An exact sequence and a theorem of Gaschütz, Neubüser and Yen on the multiplicator, J. London Math. Soc. (2) 1 (1969), 95–100. MR 244384, DOI 10.1112/jlms/s2-1.1.95