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书目名称Structure of a Group and the Structure of its Lattice of Subgroups影响因子(影响力)<br> http://figure.impactfactor.cn/if/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups影响因子(影响力)学科排名<br> http://figure.impactfactor.cn/ifr/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups网络公开度<br> http://figure.impactfactor.cn/at/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups网络公开度学科排名<br> http://figure.impactfactor.cn/atr/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups被引频次<br> http://figure.impactfactor.cn/tc/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups被引频次学科排名<br> http://figure.impactfactor.cn/tcr/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups年度引用<br> http://figure.impactfactor.cn/ii/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups年度引用学科排名<br> http://figure.impactfactor.cn/iir/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups读者反馈<br> http://figure.impactfactor.cn/5y/?ISSN=BK0880270<br><br> <br><br>书目名称Structure of a Group and the Structure of its Lattice of Subgroups读者反馈学科排名<br> http://figure.impactfactor.cn/5yr/?ISSN=BK0880270<br><br> <br><br>
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Expressly
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978-3-642-52760-9Springer-Verlag Berlin Heidelberg 1956
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Introduction,We are interested in the lattice formed by the totality of subgroups of a group. Defining the meet and the join of subgroups of a group . in the natural way, one sees easily that the totality of subgroups of a group . satisfies all axioms of a lattice. We shall call this lattice the subgroup lattice of . and denote it by ..
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Groups with a special kind of subgroup lattice,A pair (.) of subgroups . and . of a group . is said to be a ., if the distributive law . is satisfied by every subgroup . of . (. [.]).
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发表于 2025-3-23 04:25:00
Homomorphisms of subgroup lattices,A homomorphic mapping of the subgroup lattice . of a group . onto a lattice . is called an . of . onto .. Thus an .-homomorphism φ is a single valued mapping from . onto . such that . and ..
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Dualisms of subgroup lattices,A dual-isomorphism between subgroup lattices is called a . of subgroup lattices. Let φ be a dualism of the group . onto .. Then the lattice . of subgroups of . is mapped onto . and for everypair of subgroups . and . of . we have . and .. . is called a ..