Blocks with 𝑝-power character degrees-Reference-Cited by-同舟云学术

Blocks with 𝑝-power character degrees

Published:2005-04-19 Issue:10 Volume:133 Page:2845-2851
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Navarro Gabriel,Robinson Geoffrey

Abstract

Let B B be a p p -block of a finite group G G . If χ ( 1 ) \chi (1) is a p p -power for all χ ∈ Irr ⁡ ( B ) \chi \in \operatorname {Irr}(B) , then B B is nilpotent.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-10/S0002-9939-05-07915-3/S0002-9939-05-07915-3.pdf

Reference9 articles.

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2. Investigations on group characters;Brauer, Richard;Ann. of Math. (2),1941

3. A Frobenius theorem for blocks;Broué, Michel;Invent. Math.,1980

4. A note on groups of 𝑝-length 1;Isaacs, I. M.;J. Algebra,1976

5. Extensions of nilpotent blocks;Külshammer, Burkhard;Invent. Math.,1990

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