𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A replacement theorem for p-groups and a conjecture

✍ Scribed by John G Thompson


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
126 KB
Volume
13
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A covering theorem for quasi-groups
✍ H.L Abbott; A.C Liu πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 147 KB
TheFPm-Conjecture for a Class of Metabel
✍ Dessislava H. Kochloukova πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 342 KB

We prove that if A Βͺ G Βͺ Q is a short exact sequence of groups where G is finitely generated, A and Q are abelian, A is a ‫-ήšβ€¬torsion Krull dimension one β€«ήšβ€¬Q-module via conjugation then the FP -Conjecture holds. In general if G is of m type FP and either the extension is split or A is ‫-ήšβ€¬torsion w

On a Conjecture Concerning a Theorem of
✍ Guenther Walther πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 302 KB

A conjecture concerning the Crame r Wold device is answered in the negative by giving a Fourier-free, probabilistic proof using only elementary techniques. It is also shown how a geometric idea allows one to interpret the Crame r Wold device as a special case of a more general concept.

Bases for Primitive Permutation Groups a
✍ David Gluck; Ákos Seress; Aner Shalev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 171 KB

A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. We show that primitive permutation groups with no alternating composition factors of degree greater than d and no classical composition factors of rank greater th