P. Komma

collaborators

4 papers

math.GR2021

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 $G$ is a finite $p$ -group, and let $S$ be a Sylow $p$ -subgroup of $Aut (G)$ with $exp (S) = q$ . We prove that if $G$ is of class $c$ , then $\exp(G)|p^{\ceil{\log…

math.GR2021

Non-inner automorphisms of order p in finite p-groups of coclass 4 and coclass 5

P. Komma

A long-standing conjecture asserts that every finite nonabelian $p$ -group has a non-inner automorphism of order $p$ . In this paper we prove the conjecture for finite $p$ -groups of…

math.GR2021

A note on non-inner automorphism conjecture

P. Komma

In this paper we prove that every $2$ -generator finite $p$ -group $G$ has a non-inner automorphism of order $p$ leaving $G^{p} γ_{4} (G)$ elementwise fixed ( $p \geq 5$ ). Moreover, we prove…

math.GR2020

A lemma on the exponent of Schur multiplier of $p$ 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…

Bounding the exponent of a finite group by the exponent of the automorphism group and a theorem of Schur

Non-inner automorphisms of order p in finite p-groups of coclass 4 and coclass 5

A note on non-inner automorphism conjecture

A lemma on the exponent of Schur multiplier of p groups with good power structure

A lemma on the exponent of Schur multiplier of $p$ groups with good power structure