M. Vaughan-Lee

activity

19992023

most citedThe automorphisms of class two groups of prime exponent

3 citations · 15 across the 13 of their papers we have counts for

collaborators

13 papers

math.GR2023

Presentations for the groups of order $p^{6}$ for prime $p \geq 7$

M. F. Newman, E. A. O'Brien, M. R. Vaughan-Lee

We list those presentations for the groups of order $p^{6}$ for prime $p \geq 7$ which are distributed as part of the {\sc SmallGroups} library.

math.GR2021

Schur's exponent conjecture II

Michael Vaughan-Lee

Primoz Moravec published a very important paper in 2007 where he proved that if $G$ is a finite group of exponent $n$ then the exponent of the Schur multiplier of $G$ can be bounde…

math.GR2021

The groups and nilpotent Lie rings of order $p^{8}$ with maximal class

Seungjai Lee, Michael Vaughan-Lee

We classify the nilpotent Lie rings of order $p^{8}$ with maximal class for $p \geq 5$ . This also provides a classification of the groups of order $p^{8}$ with maximal class for $p \ge…

math.GR2020★ 1 cited

Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9

Michael Vaughan-Lee

There is a long-standing conjecture attributed to I Schur that if $G$ is a finite group with Schur multiplier $M (G)$ then the exponent of $M (G)$ divides the exponent of $G$ . It is…

math.GR2020

Understanding Wall's theorem on dependence of Lie relators in Burnside groups

Michael Vaughan-Lee

G.E. Wall gave two different proofs of a remarkable result about the multilinear Lie relators satisfied by groups of prime power exponent $q$ . He showed that if $q$ is a power of t…

math.GR2018★ 1 cited

Graham Higman's PORC theorem

Michael Vaughan-Lee

Graham Higman published two important papers in 1960. In the first of these papers he proved that for any positive integer $n$ the number of groups of order $p^{n}$ is bounded by a…

Presentations for the groups of order p6 for prime p≥7

Schur's exponent conjecture II

The groups and nilpotent Lie rings of order p8 with maximal class

Schur's exponent conjecture -- counterexamples of exponent 5 and exponent 9

Understanding Wall's theorem on dependence of Lie relators in Burnside groups

Graham Higman's PORC theorem

Presentations for the groups of order $p^{6}$ for prime $p \geq 7$

The groups and nilpotent Lie rings of order $p^{8}$ with maximal class