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 SM ISO690:2012KUZNETSOV, Eugene. Some properties of a permutation representation of a group by cosets to its included subgroups. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 94-95. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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All necessary de nitions and notations it can be found in [1,2]. Theorem 1. Let G be a group and H K G be its two included subgroups. Let set T = fti;jgi2E1;j2E2 be a loop transversal in G to H and set T1 = ft0;jgj2E2 be a corresponding loop transversal in K to H. So there exist the loop transversal operation L = hE; i, corresponding to the transversal T, and its subloop - loop transversal operation L1 = hE2; i, corresponding to the transversal T1. Also there exist folllowing three permutation representations. |
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