3 papers
math.GR2022
Average order in wreath products
Supravat Sarkar
We obtain an exact formula for the average order of elements of a wreath product of two finite groups. Then focussing our attention on -groups for primes , we give an estimat…
math.GR2022
A Combinatorial Proof of a generalization of a Theorem of Frobenius
Supravat Sarkar
In this article, we shall generalize a theorem due to Frobenius in group theory, which asserts that if is a prime and divides the order of a finite group, then the numb…
math.DG2021
The Weingarten map and curvatures of SL(n, R)
Supravat Sarkar
In this article, we shall derive by elementary calculations the Gauss map, spherical image, Weingarten map and the curvatures at identity of the special linear group, that is, the…