Some finite $p$-groups whose central automorphisms fixing the center element-wise are all inner

Hemant Kalra                <meta name=

2021/98/3-4 (3) — DOI: 10.5486/PMD.2021.8802 — pp. 289-297

Some finite $p$-groups whose central automorphisms fixing the center element-wise are all inner

Authors: Hemant Kalra, Deepak Gumber and Mahak Sharma

Abstract:

We characterize all finite $p$-groups $G$ of co-class up to 5, in particular groups of order $p^8$, whose central automorphisms fixing the center element-wise are all inner.

Keywords: central automorphism, finite p-groups

Mathematics Subject Classification: 20D15, 20D45