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Robinson’s conjecture for classical groups

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Abstract Robinson’s conjecture states that the height of any irreducible ordinary character in a block of a finite group is bounded by the size of the central quotient of a… Click to show full abstract

Abstract Robinson’s conjecture states that the height of any irreducible ordinary character in a block of a finite group is bounded by the size of the central quotient of a defect group. This conjecture had been reduced to quasi-simple groups by Murai. The case of odd primes was settled completely in our predecessor paper. Here we investigate the 2-blocks of finite quasi-simple classical groups.

Keywords: robinson conjecture; conjecture classical; classical groups; group

Journal Title: Journal of Group Theory
Year Published: 2019

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