2 citations · 3 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
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…
On the Exponent Conjectures
A. E. Antony, V. Z. Thomas
If is an odd prime, then we prove that $\e(H_2(G,\mathbb{Z})) \mid p\ \e(G)$ for groups of class 7. We prove the same for groups of class at most with $\e(Z(G))=p…
On the Exponent of the Schur Multiplier
Ammu. E. Antony, Komma Patali, Viji. Z. Thomas
A longstanding problem attributed to I. Schur says that for a finite group , the exponent of the second homology group divides the exponent of . In this…
On the exponent conjecture of Schur
Ammu E Antony, Komma Patali, Viji Z Thomas
It is a longstanding conjecture that for a finite group , the exponent of the second homology group divides the exponent of . In this paper, we prove thi…