๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nilpotent groups with lower central factors of minimal ranks

โœ Scribed by B. A. Panferov

Publisher
Springer US
Year
1980
Tongue
English
Weight
331 KB
Volume
19
Category
Article
ISSN
0002-5232

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Nilpotency in Groups with the Minimal Co
Nilpotency in Groups with the Minimal Condition on Centralizers
โœ Frank O Wagner ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 110 KB

The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite and conjugate. The same holds for the Sylow-p-subgroups for any prime p, provided the subgroups generated by any two p-elements of the group are finite. In the non-periodic context, the bounded left E

Minimal Factorizations of a Cycle and Ce
Minimal Factorizations of a Cycle and Central Multiplicative Functions on the Infinite Symmetric Group
โœ Philippe Biane ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 508 KB

We show that the number of factorizations \_=/ 1 } } } / r of a cycle of length n into a product of cycles of lengths a 1 , ..., a r , with r j=1 (a j &1)=n&1, is equal to n r&1 . This generalizes a well known result of J. Denes, concerning factorizations into a product of transpositions. We investi

Refined Lower Bounds on the 2-Class Numb
Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number Fields with Elementary 2-Class Group of Rank 3
โœ Elliot Benjamin; Charles J. Parry ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร‚2Z\_Zร‚2Z\_Zร‚2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of