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Isotopic class of transversals in finite solvable groups.

Authors :
Kharvar, Chandan Singh
Shukla, Ravindra Prasad
Source :
Quasigroups & Related Systems. 2023, Vol. 31 Issue 2, p261-268. 8p.
Publication Year :
2023

Abstract

We prove that if H is a subgroup of a finite solvable group G such that the number of isotopic classes of right transversals of H in G is 1, then H is normal in G. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15612848
Volume :
31
Issue :
2
Database :
Academic Search Index
Journal :
Quasigroups & Related Systems
Publication Type :
Academic Journal
Accession number :
174228276
Full Text :
https://doi.org/10.56415/qrs.v31.20