We survey the results regarding Camina groups and Camina pairs. We look at related topics
such as Gagola characters, homogeneous induction, anti-central elements, the vanishing-off …

ABSTRACT A longstanding conjecture asserts that every finite nonabelian p-group admits a
noninner automorphism of order p. In this paper we give some necessary conditions for a …

Let $ p $ be a prime number. A longstanding conjecture asserts that every finite non-abelian
$ p $-group has a non-inner automorphism of order $ p $. In this paper, we prove that if $ G …

Let G be a finite p-group and let L⋆(G)={a∈ Z (Φ (G))| a 2 p∈ Z (G)}. In this paper we show
that if L⋆(G) lies in the second center Z 2 (G) of G, then G admits a noninner automorphism …

In this paper we show that every finite nonabelian p-group G in which the Frattini subgroup
Φ (G) has order≤ p5 admits a noninner automorphism of order p leaving the center Z (G) …

Advances in Algebra Analysis and Topology Page 1 5 On Recent Developments in the Non-Inner
Automorphism Conjecture Sandeep Singh Department of Mathematics, Akal University …

Let G be a finite group and N be a non-trivial proper normal subgroup of G. The pair (G, N) is
called a Camina pair if x N⊆ x G for all x∈ G\N, where x G denotes the conjugacy class of x …

A longstanding conjecture asserts that every finite nonabelian p-group admits a noninner
automorphism of order p. In this paper, we give a lower bound for the coclass of finite …

Groups of Prime Power Order Isomorphic to Their Automorphism Groups | Bulletin of the
Iranian Mathematical Society Skip to main content SpringerLink Account Menu Find a …

A Note on Automorphisms of Finite p-Groups 1 Introduction Page 1 Journal of Mathematical
Extension Vol. 15, No. 3, (2021) (15)1-9 URL: https://doi.org/10.30495/JME.2021.1484 ISSN …