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Rashid Rezaei

Rashid Rezaei

Academic rank: Assistant Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Mathematical Sciences and Statistics
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Research

Title
توانهای جابجایی و درجه بیرونی گروه های متناهی
Type
JournalPaper
Keywords
m-th relative exterior degree, commutativity degree, exterior product, Schur multiplier, homological algebra.
Year
2012
Journal JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
DOI
Researchers Rashid Rezaei

Abstract

Recently, we have introduced a group invariant, which is related to the number of elements x and y of a nite group G such that x ^ y = 1 in the exterior square G ^ G of G. This number gives restrictions on the Schur multiplier of G 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 {h^m} ^ k of H ^ K such that {h^m} ^ k = 1, where m > 1 and H and K are arbitrary subgroups of G.