We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
PROBLEMS.
- Authors
SHORT, IAN
- Abstract
The article is from the Bulletin of the Irish Mathematical Society and contains three math problems and their solutions. The first problem asks to show that the infinite cyclic group is not the full automorphism group of any group. The second problem involves proving that the determinant of a symmetric square matrix of even order over the ring of integers modulo 2 is equal to the determinant of a matrix obtained by replacing each 0 entry with 1 and each 1 entry with 0. The third problem asks to determine the limit of a logarithmic expression involving the ℓ ∞- norm of a sequence. The solutions to the problems are also provided in the article. Readers are invited to submit their own problems and solutions for future issues of the bulletin.
- Subjects
FINITE groups; AUTOMORPHISM groups; RINGS of integers; SYMMETRIC matrices
- Publication
Bulletin of the Irish Mathematical Society, 2023, Issue 92, p68
- ISSN
0791-5578
- Publication type
Article
- DOI
10.33232/BIMS.0092.68.71