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Regular automorphism groups on partial geometries

✍ Scribed by S.L. Ma

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
373 KB
Volume
51
Category
Article
ISSN
0378-3758

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πŸ“œ SIMILAR VOLUMES

A note on β€œautomorphism groups of partia
A note on β€œautomorphism groups of partial orders”
✍ M.G. Stone πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 235 KB

We refer to articles by Bird [I] and Bird et al. [2] on automorphisms ol' posets. Let P, Q de-ote posets; P x Q is the Cartesian product with the lexicographic order and R&Q that same product with the "reverse" lexicographic order, viz. (p, -1) < (a', 9') iff 4 < q' or q = 4' and p \*f p'. r(P) deno

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✍ A. Jaikin-Zapirain πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 143 KB

In this paper we prove that there are functions f ( p, m, n) and h(m) such that any finite p-group with an automorphism of order p n , whose centralizer has p m points, has a subgroup of derived length h(m) and index f ( p, m, n). This result gives a positive answer to a problem raised by E. I. Khuk

Regular representations of finite groups
Regular representations of finite groups as automorphism groups of k-tournaments
✍ S. Marshall πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 104 KB

## Abstract It was shown by Babai and Imrich [2] that every finite group of odd order except $Z^2\_3$ and $Z^3\_3$ admits a regular representation as the automorphism group of a tournament. Here, we show that for __k__ β‰₯ 3, every finite group whose order is relatively prime to and strictly larger t

One-factorizations of complete graphs wi
One-factorizations of complete graphs with vertex-regular automorphism groups
✍ Arrigo Bonisoli; Domenico Labbate πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 161 KB

## Abstract We consider one‐factorizations of __K__~2__n__~ possessing an automorphism group acting regularly (sharply transitively) on vertices. We present some upper bounds on the number of one‐factors which are fixed by the group; further information is obtained when equality holds in these boun