activity
20152026
most citedOn the Exponent Conjectures

2 citations · 4 across the 6 of their papers we have counts for

collaborators

7 papers

math.RA2026

Actions of central Morita monoidal groupoids, and seven term exact sequences of all types

Ammu Elizabeth Antony, Yuval Ginosar

We introduce a strict monoidal groupoid associated with a given commutative ring . It acts on the Clifford extension systems of -central algebras which are graded by a group…

math.GR2022

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…

math.GR2020

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…

math.GR2020★ 2 cited

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…

math.GR2019★ 1 cited

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…

math.GR2019★ 1 cited

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…

math.GR2015

On the second stable homotopy group of the Eilenberg-Maclane space and the Schur Multiplier

A. E. Antony, G. Donadze, V. Prasad +1

We prove that for a finitely generated group , the second stable homotopy group of the Eilenberg-Maclane space is completely determined by the Schur mul…