Structure Results for Transitive, Untwisted, Superlinked Finite Covers | Zendy

Koshan JW | Zendy

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Structure Results for Transitive, Untwisted, Superlinked Finite Covers

Author(s) -

Koshan JW

Publication year - 1998

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s002461159800001x

Subject(s) - mathematics , irreducibility , abelian group , automorphism , transitive relation , simple (philosophy) , cover (algebra) , pure mathematics , mathematics subject classification , social connectedness , combinatorics , permutation (music) , permutation group , ca group , classification of finite simple groups , discrete mathematics , group of lie type , group theory , mechanical engineering , philosophy , epistemology , engineering , psychology , physics , acoustics , psychotherapist

We investigate the structure of transitive, untwisted, superlinked finite covers whose kernels are central in their automorphism groups. We introduce the concept of an n ‐conjugate system for a pair ( W , K ), where W is a permutation structure, K is a finite abelian group and n ∈ω+1. This concept allows us to characterize the given class of finite covers for structures W which satisfy a certain connectedness condition; further, the irreducibility of such a cover is equivalent to a simple condition on a corresponding n ‐conjugate system. Finally, we consider structures with strong types, for which there is a much simpler characterization. 1991 Mathematics Subject Classification : 03C35, 20B27.

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