๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Number of generators of a group

โœ Scribed by G. A. Noskov

Publisher
SP MAIK Nauka/Interperiodica
Year
1983
Tongue
English
Weight
539 KB
Volume
33
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the Number of Homomorphisms from a Fi
On the Number of Homomorphisms from a Finite Group to a General Linear Group
โœ Naoki Chigira; Yugen Takegahara; Tomoyuki Yoshida ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

We study the number of homomorphisms from a finite group to a general linear group over a finite field. In particular, we give a generating function of such numbers. Then the Rogers-Ramanujan identities are applicable.

Numbers of Generators of Ideals in a Gro
Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group
โœ James S. Okon; David E. Rush; J.Paul Vicknair ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB

Let ยต I denote the minimal number of generators of an ideal I of a local ring R M . The Dilworth number d R = max ยต I I an ideal of R and Sperner number sp R = max ยต M i i โ‰ฅ 0 are determined in the case that R = A G , where G = Z/pZ k is an elementary abelian p-group, A zA is a principal local ring