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# group

In mathematics, a group is a set and an operation that combines any two elements of the set to produce a third element of the set, in such a way that the operation is associative, an identity element exists and every element has an inverse. These three axioms hold for number systems and many other mathematical structures. For example, the integers together with the addition operation form a group. The concept of a group and the axioms that define it were elaborated for handling, in a unified way, essential structural properties of very different mathematical entities such as numbers, geometric shapes and polynomial roots. Because the concept of groups is ubiquitous in numerous areas both within and outside mathematics, some authors consider it as a central organizing principle of contemporary mathematics.In geometry groups arise naturally in the study of symmetries and geometric transformations: The symmetries of an object form a group, called the symmetry group of the object, and the transformations of a given type form a general group. Lie groups appear in symmetry groups in geometry, and also in the Standard Model of particle physics. The Poincaré group is a Lie group consisting of the symmetries of spacetime in special relativity. Point groups describe symmetry in molecular chemistry.
The concept of a group arose in the study of polynomial equations, starting with Évariste Galois in the 1830s, who introduced the term group (French: groupe) for the symmetry group of the roots of an equation, now called a Galois group. After contributions from other fields such as number theory and geometry, the group notion was generalized and firmly established around 1870. Modern group theory—an active mathematical discipline—studies groups in their own right. To explore groups, mathematicians have devised various notions to break groups into smaller, better-understandable pieces, such as subgroups, quotient groups and simple groups. In addition to their abstract properties, group theorists also study the different ways in which a group can be expressed concretely, both from a point of view of representation theory (that is, through the representations of the group) and of computational group theory. A theory has been developed for finite groups, which culminated with the classification of finite simple groups, completed in 2004. Since the mid-1980s, geometric group theory, which studies finitely generated groups as geometric objects, has become an active area in group theory.

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1. ### For Sale For Sale Active C@sino Public Group 60k Members

For Sale Active C@sino Public Group 60k Members
2. ### Restricted ako sa Fb Group Chat

Paano po kaya gagawin ko para makapag send ng mga messages sa group chat? Restricted po kasi ako. Is there any other way to bypass it? Lumalabas lang po kasi iyong notification na "Couldn't send" with red exclamation mark. Thanks guys!
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Hi guys ask ko lang my group chat kasi kami sa Messenger kaso may inaalagaan pala kaming ahas sa group namin pwede ko kaya malaman kung sino ang ng i-screen shot ng mga message namin? Para mapahiya sya doon sa group salamat po.
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robux for sale for only 500 pesos
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Link: Nylon Manila VOTE SB19 Unlimited voting po. at hanggang May 31 pa ang pag vote. Thankyou ♥️
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salamat po ket link lang po ng telegram for
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Baka meron po kayo 🙂 pa share naman

9. ### Help Send schedule message to group chats in viber

anyone knows a way or method to send scheduled messages to a group chat in viber? please for educational purposes, baka may alam po, paki share naman po any idea?

12. ### For Sale Roblox Account 2015 With 837 Members in group and earning robux

Rush guyssssss with 1,579 robux balance nito
13. ### Referral JumpMining - earns without invest. naka indicate yung mga group join na lang kayo for RBK

Register na sa mga wala pa..may ways of earning po ito if ayaw nyo mag invest..gagawin nyo lang ipunin nyo yung kita nyo para yun ang ipang invest nyo.. sa may kaya naman pwede po kayo mag invest ng minimum of \$9 kay JumpMining (\$1 is 61peso) \$9 with ROI \$0.90 in the period of 20days total of...
14. ### Group talk

may app Po kayo na parang conference kasi mag dota kami tapos sa kwarto kwarto lang kami mag lalaro e hirap Po sa communication
15. ### Help TEAM FREENET GROUP CHAT JOIN NA THIS

https://phc.onl/#forbidden#25109744158671896/

55k members
17. ### Referral Mga naghahanap ng crypto group jan, pasok

Hidden content gusto mo ba maging updated sa mga bagong labas na Airdrops, NFT games, Raffle, etc. about crypto Tara ng sumali sa aming guilds simple lang after maka join sa telegram chat mo lang "@skeletonking2018 invited me in the group"

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19. ### Help Messenger Group Chat (GC) region restriction?

Mga master sa mga nagme- maintain ng Messenger app Group Chat (GC) as Admin. Meron po bang region restriction ang Messenger app? May GC po kami (isa po ako sa admin) consist of members located sa Pilipinas at meron sa iba't-ibang bansa, di ko po magawa and mga sumusunod: 1. Gamitin yung...
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looking for Old Telegram groups year created: 2022 ✅ 2021 ✅ 2020 ✅ and below
22. ### TELETUBBINS GROUP

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Kung may alam please pashare naman🥺🥺🥺

Baka meron po kayo group mga ts na may free trading signals or copy trade
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Telegram Group Bot 100% gawang Pinoy:) totally Free need ko pa some customize pero all working na :) LINK HERE Telegram Group Bot telegram owner dyan nandito na easy to manage Group Activity Group Members Joined Members Left Members Banned Members Muted members Group Member • Can view...
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STRONG GROUP ATHLETICS (SGA) PHILIPPINES VS AL AHLY TRIPOLI Click on the link below to watch: Hidden content Feedback if working is appreciated. :love:
28. ### For Sale Roblox Account with 864 Group members Can earn robux

Nag eearn ng robux every 1 week kaya no probs 200 nalang guys murang mura willing to midman only in Moderator here in PHC no outside transactions
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Dubai International Basketball Championship Gamit Kayo VLC or iptv player... Hidden content
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GAMEDAY: STRONG GROUP ATHLETICS (SGA) PHILIPPINES VS AL WAHDA Click on the link below to watch: Hidden content Feedback if working is appreciated. :love:
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GAMEDAY: STRONG GROUP ATHLETICS (SGA) PHILIPPINES VS UAE Click on the link below to watch: Hidden content Feedback if working is appreciated. :love:
32. ### Looking For Telegram Group

sino po dito ang may telegram group (owner) na created year 2022-2020? Kahit po walang members, drop your rates po
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34. ### LAL, PHX, GSW, and UTAH. Group of death play in tournament showdown?

Theory ko lang to as a casual NBA Fan, lets set aside the Standings, the stats Ito lagi napapansin ko sa West after lumipat ni LoloBron sa LA Lakers way back 2018. Is this sinasadya na para maka hakot pa ng extra revenue. Come to think of it? How come the East is very stable unlike the West na...
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It also has analytics lol Hidden content
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May way pa po ba Makita mga unsent message sa Facebook group chat? Paano po?
37. ### For Sale FB Group (24k member)

For sale! F/B Group dis/kord users ang members 2 years old 24k members Name your price po. ^^
38. ### Jokes fb group

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39. ### Help Debloat MIUI

Guys safe lang po ba mag debloat ng phone? Hingin ko lang po opinion nyo TY sa sasagot.

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42. ### Databases Data Model for team or group, project, members task, activity, messaging, schedule, recurrence, role, planned, expiration, key performance indicator

Data Model for team or group, project, members, task, activity, messaging, schedule, recurrence, role, planned, expiration, notification, key performance indicator

45. ### Looking For Private telegram group boosting service

Sino po meron private tg group boost
46. ### Help Article about group dynamics

group dynamics in academic journals with the use of field theory. Baka meron po kayong alam, pasend po needed langgg huhu
47. ### LF Work Work abroad Group

Hello guys. sa mga gustong tumakas sa Bansa lol baka may group kayo or GC pasali naman.
48. ### 11 Filipino artists featuring in Singapore gallery's month-long group show

11 Filipino artists featuring in Singapore gallery's month-long group show Philstar.com MANILA, Philippines — Gajah Gallery Singapore will be hosting this month the "In Excess" group show featuring 11 Filipino artists, a first for the gallery, curated by Joyce Toh. As its title presents...

Hello po ^_^