# A Theorem of Frobenius and Its Applications

The Frobenius Theorem states that if $$d$$ is a divisor of the order of a finite group $$G$$, then the number of solutions of $$x^d = 1$$ in $$G$$ is a multiple of $$d$$. The article includes a proof and applications of the theorem.

Old Node ID:
3458
MSC Codes:
20-XX
Author(s):
Anjana Khurana (Punjabi University) and Dinesh Khurana (Punjabi University)
Publication Date:
Tuesday, March 23, 2010
Original Publication Source:
Mathematics Magazine
Original Publication Date:
June, 2005
Subject(s):
Algebra and Number Theory
Abstract Algebra
Groups
Flag for Digital Object Identifier:
Publish Page:
Furnished by JSTOR:
File Content:
Rating Count:
182.00
Rating Sum:
515.00
Rating Average:
2.83
Applicable Course(s):
4.2 Mod Algebra I & II
Modify Date:
Tuesday, March 23, 2010