✦ LIBER ✦

Properties of the normal closure of the center of an FC-subgroup B of group G=AB with Abelian subgroup A

✍ Scribed by N. S. Chernikov

Book ID: 112471192
Publisher: Springer
Year: 1987
Tongue: English
Weight: 510 KB
Volume: 38
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01056831

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The automorphism group of an abelian p-g

The automorphism group of an abelian p-group and its noncentral normal subgroups

✍ Jutta Hausen 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 582 KB

Integrability from an Abelian subgroup o

Integrability from an Abelian subgroup of the diffeomorphisms group

✍ Adam, C.; Sánchez-Guillén, J.; Wereszczyński, A. 📂 Article 📅 2006 🏛 American Institute of Physics 🌐 English ⚖ 295 KB

On the Invariants of Finite Groups Havin

On the Invariants of Finite Groups Having an Abelian Normal Subgroup of Prime Index

✍ Haeuslein, G. K. 📂 Article 📅 1971 🏛 Oxford University Press 🌐 English ⚖ 155 KB

The normal subgroups of the orthogonal g

The normal subgroups of the orthogonal group over a ring with an involution

✍ L. N. Vasershtein; A. V. Mikhalev 📂 Article 📅 1970 🏛 Springer US 🌐 English ⚖ 137 KB

Properties of the Subgroups of an Abelia

Properties of the Subgroups of an Abelian Prime Power Group which are Conjugate Under Its Group of Isomorphisms

✍ G. A. Miller 📂 Article 📅 1920 🏛 American Mathematical Society 🌐 English ⚖ 769 KB

The Elementary Theory of Torsionfree Abe

The Elementary Theory of Torsionfree Abelian Groups With a Predicate Specifying a Subgroup

✍ Peter H. Schmitt 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 367 KB 👁 1 views

This is proved by induction on 7n. For ni = 0 (\*) follows immediately from the definitions. Now take a E C,:,,, for m > 0. There is c E B,,,, such t'hat ac E pCp,n,-l + + C,,;f,l+l. There is thus a' E Cl~.flr-l with a E c + pa' + Cl,.,,f+l. By induction hypothesis a' E 6' + C,.,,, for some b' E @ B