Connecting monomiality questions with the structure of rational group algebras |
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| Affiliation: | 1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India;2. Department of Mathematical Sciences, Indian Institute of Science Education and Research Mohali, Sector 81, Mohali (Punjab) 140306, India;1. Department of Mathematics, University of Notre Dame, 255 Hurley, Notre Dame, IN 46556, United States of America;2. Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Romania;1. Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA;2. Dipartimento di Matematica, Politecnico di Milano, Milan, Italy |
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| Abstract: | The purpose of this paper is to show the vastness of the class of generalized strongly monomial groups and the implication of its study on monomiality questions studied by group theorists. The so called generalized strongly monomial groups, which is a generalization of strongly monomial groups introduced by Olivieri, del Río and Simón, arose in a recent work of authors while understanding the algebraic structure of rational group algebras. |
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| Keywords: | Monomial group Strongly monomial group Supermonomial group Generalized strongly monomial group |
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