Skip to content

Research at St Andrews

On skew braces and their ideals

Research output: Contribution to journalArticle

Open Access Status

  • Embargoed (until 22/12/19)

Author(s)

A. Konovalov, Agata Smoktunowicz, Leandro Vendramin

School/Research organisations

Abstract

We define combinatorial representations of finite skew braces and use this idea to produce a database of skew braces of small size. This database is then used to explore different concepts of the theory of skew braces such as ideals, series of ideals, prime and semiprime ideals, Baer and Wedderburn radicals and solvability. The paper contains several questions.
Close

Details

Original languageEnglish
Number of pages10
JournalExperimental Mathematics
VolumeLatest Articles
Early online date22 Dec 2018
DOIs
Publication statusE-pub ahead of print - 22 Dec 2018

    Research areas

  • Braces, Yang-Baxter equation, Radical rings

Discover related content
Find related publications, people, projects and more using interactive charts.

View graph of relations

Related by author

  1. swcarpentry/shell-novice: Software Carpentry: the UNIX shell, June 2019

    Wilson, G., Capes, G., Devenyi, G. A., Koch, C., Silva, R., Srinath, A., Morris, C., Jackson, M., Boughton, A., Emonet, R., Gacenga, F., Nederbragt, L., [Unknown], C., Irving, D., Becker, E. A., Deniz, F., Stimberg, M., Beagrie, R. A., McCloy, D., Soranzo, N. & 142 othersRoss, N., Srinath, A., Sauze, C., Michonneau, F., Marwaha, K., Guillou, S., Magle, T., Jankowski, E., White, E. P., Blischak, J., Fernandes, F., Bekolay, T., Szamosi, J. C., Gray, N., Hagh, V. F., Baird, D., Lang, D., Belikov, E., Bryk, J., Chung, K., Sadjadi, M., Burle, M-H., Lim, M., Barmby, P., Leak, S., Mentzel, C., Standage, D., Eyers, D., Attali, D., Nielsen, D. M., Winston, D., Simpson, J., Duckles, J., Madin, J., Buckley, K. M., [Unknown], L., Robinson, M., Feller, M., Fritz, M., Gardner, P., Steinbach, P., Ullah, R., Steltenpool, R., [Unknown], S., Mey, Y., Kassil, A., Mac, A., Morley, A., Telenczuk, B., Brunson, D., [Unknown], D., Denisenko, E., Dolson, E., Burns, H., Burkhardt, H., Alexander, H., Fontenelle, H., Schyndel, J. V., vdL, J., Williams, J., Leinweber, K., Zamparo, L., Macklin, J., Buske, O., shaikh, R., Brase, R., Mellan, T., Huffman, A., Orr, A. J., Richie-Halford, A., [Unknown], A., Konovalov, A., Keener, A., Brown, A., Bedini, A., Reid, A., McRae, A. T. T., Walker, A., Rokem, A., Sobhani, A., Atmaja, B. T., Bolker, B., Gabriel, B., Seyffert, B., Mills, B., Ballsun-Stanton, B., [Unknown], B., Marini, C., Jones, D., Bridges, D., McKain, D., Vollmer, D., Lituiev, D., Latornell, D., [Unknown], E., [Unknown], E., McTavish, E. J., Shamma, F., Profiti, G., Linde, I. V. D., Mensa, I. A., Rantaharju, J., Milhans, J., Guelfi, J., Kim, J. T., Pellman, J., Blin, K., Keipert, K., Palamartchouk, K., Noga, K., Carlise, M., Gouw, M. R., Mandel, M., Gidden, M., Peterson, M., Doyle, M., Zingale, M., Henry, M., Oneka, M., Hoggett, M., Barral, N., Brenowitz, N. D., [Unknown], N., Kaluza, O., McCann, P., Doehle, P., Hoyt, P. R., Lijnzaad, P., Banaszkiewicz, P., Mount, S., Simpkin, S., Ritchie, S., [Unknown], S., Schmeing, S., Jones, S., Turner, S., Miller, S., Keighley, T., Keighley, T., Dowrick, T., Koppejan, V. & Chhatre, V., 3 Jul 2019

    Research output: Other contribution

  2. LibraryCarpentry/lc-shell: Library Carpentry: Introduction to the Shell for librarians, June 2019

    Baker, J., Erdmann, C., Dennis, T., Heggø, D. M., Leinweber, K., [Unknown], H., Capes, G., [Unknown], J., Oliver, J., Duckles, J., [Unknown], B., Mendes, A., Conrado, A. C., Weaver, B., Williamson, E., Lessing, I., Marwaha, K., Lascarides, M., Hayslett, M., Lilleberg, T. & 72 othersDevenyi, G., Srinath, A., [Unknown], C., Silva, R., [Unknown], C., Becker, E. A., Emonet, R., Sauze, C., Jankowski, E., Guillou, S., Szamosi, J. C., Srinath, A., Bryk, J., Burle, M-H., Lim, M., Leak, S., Mentzel, C., Buckley, K. M., [Unknown], L., Robinson, M., Feller, M., Fritz, M., Soranzo, N., Ullah, R., Steltenpool, R., Mey, Y., Kassil, A., Morley, A., Denisenko, E., Burns, H., Burkhardt, H., Williams, J., Macklin, J., shaikh, R., Mellan, T., Huffman, A., Konovalov, A., Reid, A., McRae, A. T. T., Rokem, A., Atmaja, B. T., Bolker, B., Gabriel, B., Ballsun-Stanton, B., Bridges, D., McKain, D., Lituiev, D., [Unknown], E., [Unknown], E., Shamma, F., Profiti, G., Linde, I. V. D., Rantaharju, J., Guelfi, J., Pellman, J., Gouw, M., Zingale, M., Henry, M., Oneka, M., Hoggett, M., Barral, N., Brenowitz, N. D., Kaluza, O., McCann, P., Hoyt, P., [Unknown], S., Schmeing, S., Jones, S., Miller, S. J., Dowrick, T., Koppejan, V. & Chhatre, V., 2 Jul 2019

    Research output: Other contribution

  3. GAP – Groups, Algorithms, and Programming, Version 4.10.2

    The GAP Group, Behrends, R., Breuer, T., Horn, M., Hulpke, A., Jefferson, C. A., Konovalov, A., Linton, S. A., Lübeck, F., Mitchell, J. D., Pfeiffer, M. J., Siccha, S. & Torpey, M. C., 19 Jun 2019

    Research output: Non-textual formSoftware

  4. YangBaxter - Combinatorial Solutions for the Yang-Baxter equation, Version 0.7.0 (GAP package)

    Vendramin, L. & Konovalov, A., 23 Feb 2019

    Research output: Non-textual formSoftware

  5. GAP – Groups, Algorithms, and Programming, Version 4.10.1

    The GAP Group, Behrends, R., Breuer, T., Horn, M., Hulpke, A., Jefferson, C. A., Konovalov, A., Linton, S. A., Lübeck, F., Mitchell, J. D., Pfeiffer, M. J., Siccha, S. & Torpey, M. C., 23 Feb 2019

    Research output: Non-textual formSoftware

Related by journal

  1. Algorithms for experimenting with Zariski dense subgroups

    Detinko, A., Flannery, D. & Hulpke, A., 4 Jun 2018, In : Experimental Mathematics. Latest Articles, 10 p.

    Research output: Contribution to journalArticle

  2. The status of the Zassenhaus conjecture for small groups

    Bächle, A., Herman, A., Konovalov, A., Margolis, L. & Singh, G., 2018, In : Experimental Mathematics. 27, 4, p. 431-436 6 p.

    Research output: Contribution to journalArticle

  3. Spectral experiments+

    Rivin, I., 30 Mar 2016, In : Experimental Mathematics. 25, 4, p. 379-388 10 p.

    Research output: Contribution to journalArticle

  4. On the efficiency of the simple groups of order less than a million and their covers

    Campbell, C. A., Havas, G., Ramsay, C. & Robertson, E. F., 2007, In : Experimental Mathematics. 16, p. 347-358 12 p.

    Research output: Contribution to journalArticle

ID: 253440090