✦ LIBER ✦

Growing Forests in Abelianp-Groups

✍ Scribed by Fred Richman

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 115 KB
Volume: 187
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.6787

No coin nor oath required. For personal study only.

✦ Synopsis

At the center of the theory of abelian p-groups are the classical theorems of Ulm, Zippin, and Kaplansky, going back to the thirties, that classify countable p-groups by their Ulm invariants: the uniqueness theorem is referred to as Ulm's theorem, the existence theorem as Zippin's theorem. For each ordinal ␣, the ␣ th Ulm invariant of G can be defined Ž . Ž . as the dimension f ␣ of the vector space over the p-element field

📜 SIMILAR VOLUMES

Projectivities in finite abelianp-groups

✍ Karl H. Wehrhahn 📂 Article 📅 1971 🏛 Springer-Verlag 🌐 French ⚖ 488 KB

Completions of topological Abelianp-grou

Completions of topological Abelianp-groups

✍ D. O. Cutler 📂 Article 📅 1972 🏛 Akadmiai Kiad 🌐 English ⚖ 321 KB

Onp′-automorphisms of abelianp-groups, I

Onp′-automorphisms of abelianp-groups, II

✍ M. E. Harris 📂 Article 📅 1980 🏛 Springer Netherlands 🌐 English ⚖ 124 KB

Elementary abelianp-groups as automorphi

Elementary abelianp-groups as automorphism groups of infinite groups. I

✍ Thomas A. Fournelle 📂 Article 📅 1979 🏛 Springer-Verlag 🌐 French ⚖ 569 KB

On the basic subgroups of abelianp-group

On the basic subgroups of abelianp-groups

✍ T. Szele 📂 Article 📅 1954 🏛 Akadmiai Kiad 🌐 English ⚖ 664 KB

Normalp-Subgroups of the Automorphism Gr

Normalp-Subgroups of the Automorphism Group of an Abelianp-Group

✍ Ross Peder Abraham 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 136 KB

We will show that for any integer n G 0, the automorphism group of an abelian p-group G, p G 3, contains a unique subgroup which is maximal with respect to being normal and having exponent less than or equal to p n . This subgroup is ⌸ l Fix p n G, where ⌸ is the unique maximal normal p-subgroup of