Zobrazeno 1 - 10 of 78 pro vyhledávání: '"Morton E. Harris"'
4
Isomorphisms of subcategories of fusion systems of blocks and Clifford theory
Autor: Morton E. Harris
Publikováno v: Journal of Group Theory. 23:925-930
Let k be an algebraically closed field of prime characteristic p. Let G be a finite group, let N be a normal subgroup of G, and let c be a G-stable block of kN so that ( k ⁢ N ) ⁢ c {(kN)c} is a p-permutation G-algebra. As in Section 8.6 of [M. L
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cb22a09379a1ca5cdb153676c369607c
https://doi.org/10.1515/jgth-2019-0153
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5
A natural Morita equivalence reduction for some blocks of G-crossed product O-lattices and applications to the Clifford theory of finite group modular representation theory
Autor: Morton E. Harris
Publikováno v: Communications in Algebra. 48:1726-1743
Let O be a complete discrete valuation ring with an algebraically closed residue field k=O/J(O) of characteristic p. Let G be a finite group and let A be a G-crossed product finitely generated O-la...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8db16b586661e81c1b16c9c2a9026a2b
https://doi.org/10.1080/00927872.2019.1705470
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6
Morita equivalence and quotient rings
Autor: Morton E. Harris
Publikováno v: Journal of Algebra. 502:45-48
Let A and B be rings and let M be an A–B-bimodule that is finitely generated and projective in A-mod and in mod-B. Also let I be an ideal of A and let J be an ideal of B such that I M = M J . Our main result is a partial converse of a known result:
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6bb3f83ff810fae3ba4b67d296f5aabe
https://doi.org/10.1016/j.jalgebra.2017.11.054
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8
Corrigendum to: 'Clifford Theory of a Finite Group that Contains a Defect 0 p-Block of a Normal Subgroup'
Autor: Morton E. Harris
Publikováno v: Communications in Algebra. 44:3668-3671
At some point, after publication, the author realized that the proof of [3, Theorem 5.2] is incorrect. This proof incorrectly adapts the proof of [1, Theorem 4.8] since [3, (5.5)] is incorrect. Using the same proof outline, we correct the proof of [3
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5081db0f78481f61c2cb98398a12954f
https://doi.org/10.1080/00927872.2015.1065875
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9
Analogs of the Green and Puig correspondences for twisted group algebras
Autor: Morton E. Harris
Publikováno v: Journal of Group Theory. 19:1-24
In the modular representation theory of finite groups, we show that the standard derivation of the Green correspondence lifts to a derivation of a Green correspondence for twisted group algebras (Theorem 1.3). Then, from these results we derive a lif
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::71fc386dae99afb1a67f22d588c907e3
https://doi.org/10.1515/jgth-2015-0029
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10
A block extension of categorical results in the Green correspondence context
Autor: Morton E. Harris
Publikováno v: Journal of Group Theory. 17:1117-1131
In [J. Pure Appl. Algebra 2 (1972), 371–393, Theorem 4.1], J. A. Green shows that the Green Correspondence in Finite Group Modular Representation Theory is a consequence of an equivalence between two quotient categories of appropriate subcategories
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e6e3b6902d2ee5117008af2436809f81
https://doi.org/10.1515/jgth-2014-0021
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