Ayush Udeep

activity

20212026

most citedMinimal degrees for faithful permutation representations of groups of order

p^{6}

where

p

is an odd prime

1 citations · 1 across the 11 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.GR2023

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

Over the years various errors have been identified in the 1980 paper of James on the groups of order $p^{6}$ , where $p$ is an odd prime. Here we summarise them.

math.GR2023★ 1 cited

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

We determine the minimal degree of a faithful permutation representation for each group of order $p^{6}$ where $p$ is an odd prime. We also record how to obtain such a representation…

math.GR2023

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of $p$ -groups

Sunil Kumar Prajapati, Ayush Udeep

For a finite group $G$ , we denote by $c (G)$ , the minimal degree of faithful representation of $G$ by quasi-permutation matrices over the complex field $C$ . For an irreduci…

math.GR2023

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

Sunil Kumar Prajapati, Ayush Udeep

For a finite group G, we denote by $μ (G)$ , and c(G), the minimal degree of faithful permutation representation of G, and the minimal degree of faithful representation of G by quasi…

Comment on: The groups of order p6 (p an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

Minimal degrees for faithful permutation representations of groups of order p6 where p is an odd prime

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of p-groups

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of $p$ -groups