5 citations · 12 across the 14 of their papers we have counts for
14 papers
On the decidability of the integrability of finite groups
Sathasivam Kalithasan, Viji Z. Thomas
An integral of a group is a group whose commutator subgroup is isomorphic to . In this paper, we prove that the integrability of a finite group is a decidable problem.
Invariance of Schur multiplier, Bogomolov multiplier and the minimal number of generators under a variant of isoclinism
Ammu E. Antony, Sathasivam K, Viji Z. Thomas
We introduce the -Bogomolov multiplier as a generalization of the Bogomolov multiplier, and we prove that it is invariant under -isoclinism. We prove that the -Schur Multi…
The maximum number of triangles in a graph and its applications to special -groups
Tony N. Mavely, Viji Z. Thomas
We give a sharp bound on the number of triangles in a graph with fixed number of edges. We also characterize graphs that achieve the maximum number of triangles. Using the upper bo…
Bounding the exponent of a finite group by the exponent of the automorphism group and a theorem of Schur
P. Komma, V. Z. Thomas
Assume is a finite -group, and let be a Sylow -subgroup of with . We prove that if is of class , then $\exp(G)|p^{\ceil{\log…
On Schurs exponent conjecture and its relation to Noether's Rationality problem
Viji Z Thomas
In this short survey article, we aim to provide an up to date information on the progress made towards Schurs exponent conjecture and related conjectures. We also mention the conne…
A lemma on the exponent of Schur multiplier of groups with good power structure
A. E Antony, P. Komma, V. Z. Thomas
In this note, we give short proofs of the well-known results that the exponent of the Schur multiplier $\M$ divides the exponent of $\G$ for finite $\p$-groups of maximal class and…