In the situation where a finite group A acts coprimely by automorphisms on another finite group G, we characterize when the principal p-block of G contains a unique A-invariant irreducible character, in terms of the subgroup CG(A) of fixed points under such action.
Coprime action and principal blocks / Feng, Zhicheng; Vallejo, Carolina. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 126:(2026), pp. 3-12. [10.1007/s00013-025-02189-9]
Coprime action and principal blocks
Vallejo, Carolina
2026
Abstract
In the situation where a finite group A acts coprimely by automorphisms on another finite group G, we characterize when the principal p-block of G contains a unique A-invariant irreducible character, in terms of the subgroup CG(A) of fixed points under such action.
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