Mimar Sinan Fine Arts University Institutional Repository
DSpace@MSGSÜ digitally stores academic resources such as books, articles, dissertations, bulletins, reports, research data published directly or indirectly by Mimar Sinan Fine Arts University in international standarts, helps track the academic performance of the university, provides long term preservation for resources and makes publications available to Open Access in accordance with their copyright to increase the effect of publications.
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Let k be an algebraically closed field of prime characteristic p and P a finite p-group. We compute the Scott kG-module with vertex P when F is a constrained fusion system on P and G is Park's group for F. In the case that ...
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We present a sufficient condition for the kG-Scott module with vertex P to remain indecomposable under the Brauer construction for any subgroup Q of P as k[QC(G)(Q)]-module, where k is a field of characteristic 2, and P ...
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We give a sufficient condition for the kG-Scott module with vertex P to remain indecomposable under taking the Brauer construction for any subgroup Q of P as k[QCG(Q)]-module, where k is a field of characteristic 2, and P ...
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In 1979, Miller proved that for a group G of odd order, two minimal group codes in F(2)G are G-equivalent if and only if they have identical weight distribution. In 2014, Ferraz-Guerreiro-Polcino Milies disproved Miller's ...
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We investigate the properties of binary linear codes of even length whose permutation automorphism group is a cyclic group generated by an involution. Up to dimension or co-dimension 4, we show that there is no quasi-group ...
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We present a refinement of Alperin's Conjecture involving the blocks of the endomorphism algebra of the permutation module formed by the cosets of a p-subgroup. We prove the conjecture in two special cases where every ...