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2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphsDu, Shao Fei ...We classify those 2-groups ▫$G$▫ which factorise as a product of two disjoint cyclic subgroups ▫$A$▫ and ▫$B$▫, transposed by an automorphism of order 2. The case where ▫$G$▫ is metacyclic having ... been dealt with elsewhere, we show that for each ▫$e \ge 3$▫ there are exactly three such non-metacyclic groups ▫$G$▫ with ▫$|A| = |B| = 2^e$▫, and for ▫$e = 2$▫ there is one. These groups appear in a classification by Berkovich and Janko of 2-groups with one non-metacyclic maximal subgroup; we enumerate these groups, give simpler presentations for them, and determine their automorphism groups.Source: Ars mathematica contemporanea : special issue Bled'11 (Vol. 6, no. 1, 2013, str. 155-170)Type of material - conference contribution ; adult, seriousPublish date - 2013Language - englishCOBISS.SI-ID - 16471385
Author
Du, Shao Fei |
Jones, Gareth A. |
Kwak, Jin Ho |
Nedela, Roman |
Škoviera, Martin
Topics
regular map |
complete bipartite graph |
product of cyclic groups |
teorija grafov
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Du, Shao Fei | ![]() |
Jones, Gareth A. | ![]() |
Kwak, Jin Ho | ![]() |
Nedela, Roman | 27776 |
Škoviera, Martin | ![]() |
Source: Personal bibliographies
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