Class-preserving Coleman automorphisms of finite groups whose Sylow 2-subgroups are semidihedral

DOI10.1142/S0219498822501663OpenAlexW3142549124MaRDI QIDQ5100116

Tao Zheng, Xiu Yun Guo

Publication date: 29 August 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501663

zbMATH Keywords

normalizer propertyColeman automorphismclass-preserving automorphismsemidihedral \(2\)-group

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

• Unnamed Item
• Group automorphisms inducing the identity map on cohomology
• The normalizer of a group in the unit group of its group ring
• Coleman automorphisms of finite groups.
• Class-preserving Coleman automorphisms of finite groups
• The normalizer property for finite groups whose Sylow 2-subgroups are abelian
• On finite groups with semi-dihedral Sylow 2-subgroups
• The normalizer property for the integral group ring of the wreath product of two symmetric groups S_k and S_n
• Automorphisms of Finite Groups
• Automorphisms of finite groups
• Normalizer property for integral group rings of nite groups
• On the Modular Group Ring of a p-Group
• Coleman automorphisms of permutational wreath products II
• ON CLASS-PRESERVING COLEMAN AUTOMORPHISMS OF FINITE SEPARABLE GROUPS
• Endliche Gruppen I
• A counterexample to the isomorphism problem for integral group rings
• Class-preserving automorphisms of finite groups
• Local analysis of the normalizer problem

This page was built for publication: Class-preserving Coleman automorphisms of finite groups whose Sylow 2-subgroups are semidihedral