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A solvability criterion for finite groups related to the number of Sylow subgroups

Authors :
Sajjad Mahmood Robati
Source :
Communications in Algebra. 48:5176-5180
Publication Year :
2020
Publisher :
Informa UK Limited, 2020.

Abstract

Let G be a finite group and let π(G) be the set of primes dividing the order of G. For each p∈π(G), the Sylow theorems state that the number of Sylow p-subgroups of G is equal to kp + 1 for some no...

Details

ISSN :
15324125 and 00927872
Volume :
48
Database :
OpenAIRE
Journal :
Communications in Algebra
Accession number :
edsair.doi...........e1167d8117ac55d2cc25e9b63cfa842d
Full Text :
https://doi.org/10.1080/00927872.2020.1782418