Ahlstrom Group results for 1996
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 134 KB
- Volume
- 1997
- Category
- Article
- ISSN
- 0262-1762
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β¦ Synopsis
FINANCIAL
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π SIMILAR VOLUMES
We prove that the number of conjugacy classes of primitive permutation groups cΕ½ n. ## Ε½ . of degree n is at most n , where n denotes the maximal exponent occurring in the prime factorization of n. This result is applied to investigating maximal subgroup growth of infinite groups. We then proceed
A well-developed branch of asymptotic group theory studies the properties of classes of linear and permutation groups as functions of their degree. We refer to the surveys of Cameron [4] and Pyber [17,18] and the recent paper by Pyber and Shalev [19] for a detailed exposition of this subject. In thi
In this paper, we prove that a simple system for a subsystem of the complex root system can always be chosen as a subset of the positive system + of . Furthermore, we show that a set of distinguished coset representatives can be found for every reflection subgroup of the complex reflection groups. T
An equation over a ΓΏnite group G is an expression of form w1w2 : : : w k = 1G, where each wi is a variable, an inverted variable, or a constant from G; such an equation is satisΓΏable if there is a setting of the variables to values in G so that the equality is realized. We study the problem of simul