Description

• Title:
  Fields and quadratic form schemes with the index of radical not exceeding 16
• Creator:
  Szczepanik, Lucyna
• Description:
  Let g be an elementary 2-group with -1∈g and let d be a mapping of g into the family of all subgroups of g. The triple S = (g,-1,d) is called a quadratic form scheme if C1-C3 are fulfilled. The main result is: if |g| ≤ 16 or [g : R] ≤ 16 then all these schemes can be obtained as the product of schemes or schemes of form St from the schemes of fields C, R, F3, F5, Q2(√-1), Q2(√-2) and radical schemes Siβ. We give a complete list of schemes for |g| ≤ 16, [g : R] ≤ 16 with all invariants.
• Object availability:
  free access
• Date:
  1985.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 1 (1985); 23-46;
  Annales Mathematicae Silesianae; Tom 1 (1985); 23-46;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14334/11045
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14334
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other