Results 11 to 20 of about 94 (67)
Associativity of the Commutator Operation in Groups [PDF]
The study of associativity of the commutator operation in groups goes back to the work of F. W. Levi in 1942. In the 1960’s Richard J. Thompson created a group F whose elements are representatives of the generalized associative law for an arbitrary ...
F. Guzmán
semanticscholar +1 more source
OD-characterization of alternating groups Ap+d
Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
doaj +1 more source
A characterization of projective special unitary group U3(5) by nse
Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
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A Survey: Bob Griess's Work on Simple Groups and Their Classification
This is a brief survey of the research accomplishments of Bob Griess, focusing on the work primarily related to simple groups and their classification. It does not attempt to also cover Bob’s many contributions to the theory of vertex operator algebras. (
Stephen D. Smith
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Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
Generators for maximal subgroups of Conway group Co1
The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal +3 more
doaj +1 more source
Recognition by character degree graph and order of simple groups of order less than 6000
Let G be a finite group. The character degree graph of G, which is denoted by .G/, is the graph whose vertices are the prime divisors of the character degrees of the group G and two vertices p1 and p2 are joined by an edge if p1p2 divides some character ...
B. Khosravi +3 more
semanticscholar +1 more source
Maximal subgroups of finite groups
In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself. In this paper we study the case when the index of the maximal subgroups of the groups have a special type of relation with the Fitting ...
S. Srinivasan
wiley +1 more source
A note on the number of non-cyclic subgroups of finite groups
Let G be a finite group with at most 29 non-cyclic proper subgroups. In this note we show that if G is not isomorphic to the alternating group A5 and the special linear group SL2(5) then G must be solvable.
Zhengfei Wu, Jiangtao Shi
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SOME QUANTITATIVE CHARACTERIZATIONS OF CERTAIN SYMPLECTIC GROUPS OVER THE BINARY FIELD
Given a finite group G, denote by D(G) the degree pattern of G and by OC(G) the set of all order components of G. Denote by hOD(G) (resp. hOC(G)) the number of isomorphism classes of finite groups H satisfying conditions |H| = |G| and D(H) = D(G) (resp ...
M. Akbari, A. Moghaddamfar
semanticscholar +1 more source

