๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the number of generators for certain finite groups

โœ Scribed by Richard M Thomas


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
246 KB
Volume
71
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the Number of Generators of Finite Im
โœ Andrea Lucchini ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

We prove that the analog of the Grushko-Neumann theorem does not hold for profinite free products of profinite groups. To do that we bound the number of generators of a finite group generated by a family of subgroups of pairwise coprime orders.

On the Number of Generators and Composit
โœ A Lucchini; F Menegazzo; M Morigi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

In 1991 Dixon and Kovacs 8 showed that for each field K which has finite degree over its prime subfield there is a number d such that every K finite nilpotent irreducible linear group of degree n G 2 over K can be w x wx ' generated by d nr log n elements. Afterwards Bryant et al. 3 proved K ' d G F

Explicit Generators of the Invariants of
โœ David R. Richman ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 681 KB

Let R denote a commutative (and associative) ring with 1 and let A denote a finitely generated commutative R-algebra. Let G denote a finite group of R-algebra automorphisms of A. In the case that R is a field of characteristic 0, Noether constructed a finite set of R-algebra generators of the invari

On the Number of Homomorphisms from a Fi
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.

On the crossing numbers of certain gener
โœ Dan McQuillan; R. Bruce Richter ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 484 KB

In his paper on the crossing numbers of generalized Petersen graphs, Fiorini proves that P(8, 3) has crossing number 4 and claims at the end that P(10, 3) also has crossing number 4. In this article, we give a short proof of the first claim and show that the second claim is false. The techniques are