Results 271 to 280 of about 18,357,901 (314)

On the Structure of Half-Groups

Canadian Journal of Mathematics, 1959
Furstenberg (1) and the author (4), among others, have exhibited postulate systems for groups in terms of the operation x — y = x + ( — y).Furstenberg also investigated a system obtained by removing one of his postulates which defines what he called a half-group. A structure theorem for half-groups was given in (1).
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Group varieties and group structures

Izvestiya: Mathematics, 2022
We explore to what extent the group variety of a connected algebraic group or the group manifold of a real Lie group determines its group structure.
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On the structure of CDN[]-groups

Ukrainian Mathematical Journal, 1998
The paper deals with a special class of groups which are called CDN[\ ]-groups. The main purpose is to describe the nilpotent non-Dedekind groups of that class. A complete list of such groups and their structure is presented.
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On the Structure of Orthogonal Groups

American Journal of Mathematics, 1958
This theorem was proved by D. E. Dickson [3] in the case of finite ground field, then by J. Dieudonne [4] in the general case. In this paper we will give another proof of this theorem based on a principle given by K. Iwasawa in his paper [6]. The author wishes to express his hearty thanks to Professor Iwasawa who read the original manuscript and gave ...
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On the Structure of Frobenius Groups

Canadian Journal of Mathematics, 1957
Let G be a group which has a faithful representation as a transitive permutation group on m letters in which no permutation other than the identity leaves two letters unaltered, and there is at least one permutation leaving exactly one letter fixed. It is easily seen that if
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Automatic Structures and Groups

2011
Automata theory has unified many areas of computer science and mathematics. These include group theory (Thurston automatic groups [11], branch and self similar groups [1] [24]), computable model theory (the theory of automatic structures [5] [17] [16]), finite model theory, algorithms and decidability, logic, model checking and verification.
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Group Structure: The Other Groups

1990
Although the noun group is the most important group in a sentence, we should not underestimate the significance of the verb group and the adverb or prepositional groups which realise the functions of predicator and adjunct respectively. That the noun group carries more weight in sentence structure can be readily appreciated from the stress pattern of ...
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Group Structure: The Noun Group

1990
In the previous chapter we looked at the make-up of sentences, which can be broken down into their constituent elements of subject, predicator, object, complement and adjunct. Each of these elements can be represented by a group of words, such as a noun group, adjective group, verb group, adverb group or prepositional group.
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Highly accurate protein structure prediction with AlphaFold

Nature, 2021
John Michael Jumper, Martin Steinegger, Jonas Adler   +2 more
exaly  

Group structures in group psychotherapy

Journal of Clinical Psychology, 1947
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