๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some Notes on the Baer-Invariant of a Nilpotent Product of Groups

โœ Scribed by Behrooz Mashayekhy

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
235
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

โœฆ Synopsis

presented a formula for the Schur multiplier of a regular product of groups. In this paper, first, it is shown that the Baer-invariant of a nilpotent product of groups with respect to the variety of nilpotent groups has a homomorphic image and in finite case a subgroup of Haebich's type. Second, a formula will be presented for the Baer-invariant of a nilpotent product of cyclic groups with respect to the variety of nilpotent groups.

๐Ÿ“œ SIMILAR VOLUMES

A note on the analysis of group data
A note on the analysis of group data
โœ Dr. Willem Koomen ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 291 KB ๐Ÿ‘ 2 views
Some results on the genus of a group
Some results on the genus of a group
โœ Thomas W. Tucker ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 115 KB ๐Ÿ‘ 1 views

## Abstract This Note announces two results on the genus of a group. First, there is exactly one group of genus two, thus answering a question of V. K. Proulx. Second, the genus of the full symmetric group of degree __n__ is __n__!/168 + 1, for all __n__ > 167.

A Note on the Pythagorean Theorem of Bas
A Note on the Pythagorean Theorem of Baseball Production
โœ John Ruggiero; Lawrence Hadley; Gerry Ruggiero; Scott Knowles ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 93 KB ๐Ÿ‘ 2 views

Recent analyses of baseball managers' performances have employed the so-called `Pythagorean Theorem' of baseball. This `theorem' states that the ratio of wins to losses can be approximated by the square of the ratio of team runs scored to opposition runs scored. Recent publications assume this appro