The structure of ν-isologic pairs of groups | Zendy

Shahram Heidarian | Zendy; Ahmad Gholami | Zendy; Mohammad Abadi | Zendy

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The structure of ν-isologic pairs of groups

Author(s) -

Shahram Heidarian,

Ahmad Gholami,

Mohammad Abadi

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1201067h

Subject(s) - mathematics , quotient , invariant (physics) , pure mathematics , combinatorics , class (philosophy) , algebra over a field , artificial intelligence , computer science , mathematical physics

In [2], the first two authors generalized the concept of n-isoclinism to the class of all pairs of groups. In this paper, we extend that notion to ν-isologism and study the details of this notion. In addition, it is shown that every pair of groups is ν-isologic with a quotient irreducible pair of groups. Finally, as an application, we drive some inequalities for the Baer-invariant of a pair of groups.

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