Irreducible restrictions of representations of symmetric and alternating groups in small characteristics
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DOI: 10.1016/j.aim.2020.107184
Abstract: Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such classification is known… read more here.
Keywords: representations symmetric; restrictions representations; alternating groups; small characteristics ... See more keywords
The structured Gerstenhaber problem (III)
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DOI: 10.1016/j.laa.2020.04.021
Abstract: Abstract Let b be a symmetric or alternating bilinear form on a finite-dimensional vector space V. When the characteristic of the underlying field is not 2, we determine the greatest dimension for a linear subspace… read more here.
Keywords: underlying field; field; bilinear form; structured gerstenhaber ... See more keywords
On Quasi Steinberg characters of Symmetric and Alternating groups and their Double Covers
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DOI: 10.1142/s0219498822501997
Abstract: An irreducible character of a finite group $G$ is called quasi $p$-Steinberg character for a prime $p$ if it takes a nonzero value on every $p$-regular element of $G$. In this article, we classify the… read more here.
Keywords: characters symmetric; groups double; alternating groups; steinberg characters ... See more keywords