COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS

- Journal title : Journal of the Korean Mathematical Society
- Volume 49, Issue 4, 2012, pp.855-865
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2012.49.4.855

Title & Authors

COMMUTING POWERS AND EXTERIOR DEGREE OF FINITE GROUPS

Niroomand, Peyman; Rezaei, Rashid; Russo, Francesco G.;

Niroomand, Peyman; Rezaei, Rashid; Russo, Francesco G.;

Abstract

Recently, we have introduced a group invariant, which is related to the number of elements and of a finite group such that in the exterior square of . This number gives restrictions on the Schur multiplier of and, consequently, large classes of groups can be described. In the present paper we generalize the previous investigations on the topic, focusing on the number of elements of the form of such that , where and and are arbitrary subgroups of .

Keywords

m-th relative exterior degree;commutativity degree;exterior product;Schur multiplier;homological algebra;

Language

English

Cited by

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2.

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