On units of group algebras of 2-groups of maximal class

Zs Balogh, A. Bovdi

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


We determine the number of elements of order two in the group of normalized units V(IF2G) of the group algebra IF2G of a 2-group of maximal class over the field IF2 of two elements. As a consequence for the 2-groups G and H of maximal class we have that V(IF2G) and V(IF2H) are isomorphic if and only if G and H are isomorphic.

Original languageEnglish
Pages (from-to)3227-3245
Number of pages19
JournalCommunications in Algebra
Issue number8
Publication statusPublished - 2004
Externally publishedYes


  • Element of order two
  • Group algebra
  • Group of units
  • Isomorphism

ASJC Scopus subject areas

  • Algebra and Number Theory


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